Practicing the Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 5 Module 3 will help students analyze their level of preparation.
Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 5 Module 3
Bridges in Mathematics Grade 4 Home Connections Unit 5 Module 3 Session 2 Answer Key
Question 1.
Hector says you have to measure the length of every side of this square to find its perimeter. Do you agree with him? Why or why not? Explain your answer.
Answer:
No, it is not necessary to measure the lenght of every side of a square in order to find the perimeter of a square, Because simple calculate on sigle side and then multiply with 4.
Question 2.
Which equation shows how to find the perimeter of this rectangle?
3 × 8 = 24 ft.
(2 × 3) + 8 = 14 ft.
(2 × 3) + (2 × 8) = 22 ft.
4+ 8 = 12 ft.
Answer:
Given Length (l) = 8 ft
Width(W) = 3ft
Perimeter of rectangle(P) = 2(l+w)
= 2(8+3)
= 2 x 8 + 2 x 3
= 22 ft
So, The Equation which shows the perimeter for the given rectangle : (2×8)+(2×3)= 22ft
Question 3.
Mr. Hunter is trying to find the distance from one end of his whiteboard to the other. Mr. Hunter is measuring:
the whiteboard’s area
the whiteboard’s length
the whiteboard’s perimeter
Answer:
When we observe the given figure , it looks like a rectangle.So, Mr. Hunter is measuring length of the whiteboard’s Length.
Question 4.
Which of these situations is about perimeter?
determining the number of tiles needed to cover a floor
determining how many feet of fencing is needed to surround a backyard
determining the width of a table
Answer:
Determining how many feet of fencing is needed to surround a bakyard is the situation about the perimeter.
Question 5.
Beckett and his mom are going to paint the living room. They need to measure the room so they know how much paint to buy. They should measure the wall in:
square centimeters
square feet
square inches
square miles
Answer:
square feet
To paint the living room they must know the Length and width of a room. Simply by multiplying the lenght and width of living room which gives the Area of living room in Sqaure feet.
Question 6.
This rectangle has an area of 45 square feet. What is the missing measure? Show your work.
Answer:
Given width of rectangle (w) = 5ft
Length of rectangle is the missing measure (l) = ?
Area of rectangle(A) = 45 sq.ft
Formula: Area = l.w
45 = l .5
l = 45 / 5
l =9Â ft
Question 7.
Tom wants to find the area of his school’s basketball court. Which formula should he use? (circle one)
A = l + w
A = l × w
A = l – w
A = (2 × w) + (2 × l)
Answer:
As we know , School basketball court in the shape of Rectangle. Hence , we need to use the formula is : Area = l x w
Question 8.
Alexandra and her dad built a deck in their backyard. It had an area of 48 square feet and a perimeter of 28 feet. Circle the drawing that shows the deck they built. Use numbers, labeled sketches, and words to explain your answer.
Answer:
Given Area = 48 sq.ft
Length of rectangle (l) = 6 ft
Width of rectangle (l) = 8 ft
Area (A)= 6 x 8
= 48 ft
Perimeter(P) = 2( 6 + 8)
= 2 (14)
= 28 ft
So first one is the Answer in the given three diagrams.
Bridges in Mathematics Grade 4 Home Connections Unit 5 Module 3 Session 4 Answer Key
Area, Perimeter & Multiplication
Question 1.
Jeff is going to hang wallpaper on the big wall in his living room. The wall is 16 feet tall and 23 feet wide. There is a window in the middle of the wall that is 5 feet tall and 8 feet wide. How many square feet of wall does Jeff have to cover with wallpaper? Hint: Draw a picture. Show all of your work.
Answer:
Length of outside wall (l) = 23ft
width of outside wall (W) = 16ft
Area = 23 x 16
= 368 sq.ft
Similarly,
Length of inside wall (l) = 8ft
width of inside wall (W) = 5ft
Area = 8 x 5
= 40 sq.ft
Number of square feet that jess have to cover = 368 – 40
= 328 sq.ft
Question 2.
The wallpaper Jeff wants to use comes in rolls that are 1 yard wide and 10 yards long. How many square feet of wallpaper are in each roll? Show all of your work.
Answer:
Length of roll (l) = 10 yards = 30 ft [since 1 yard = 3 ft ]
Width of roll (l) = 1 yard = 3 ft [ since 1 yard = 3 ft ]
As we know 1 yard = 3ft
Then Area = 30 x 3
= 90 square feets
Question 3.
CHALLENGE What happens to the area of a rectangle if you double one side while cutting the other side in half? Start with the rectangle below. Draw and label two more rectangles to show what happens.
Answer:
Length of rectange(l) = 8 ft
Width of rectange(l) = 2 ft
Area (A)= l x w
= 8 x 2
= 16 sq.ft
Area remains similar when a single side is doubled and the other side is halfed which are as shown below.
Question 4.
Complete each multiplication puzzle. Fill in the products of rows and diagonals.
ex:
a.
Answer:
The products of Rows and columns are filled as shown in the below figure.
b.
Answer:
The products of Rows and columns are filled as shown in the below figure.
Question 5.
Find the area and perimeter of each figure below.
a.
Area = __________________
Perimeter = _________________
Answer:
Length of rectnagle(l) = 49
Width of rectangle(w) = 38
Area(A) = 49 x 38
= 1862 sq.units
Perimeter(P) = 2(l+w)
= 2(49+38)
= 2( 87)
= 174 units.
b.
Area = __________________
Perimeter = _________________
Answer:
Length of rectnagle(l) = 99
Width of rectangle(w) = 75
Area(A) = 99 x 75
= 7425Â sq.units
Perimeter(P) = 2(l+w)
= 2(99+75)
= 2( 174)
= 348 units.
c.
Area = __________________
Perimeter = _________________
Answer:
1 st Rectangle Area = l x b
= 133 x 46
= 6118
2 nd Rectangle Area = l x b
= 87 x 38
= 3306
Then , Area of both the Rectangles = 6118 + 3306
= 9424 sq.units
Perimeter of 1st and 2 nd Rectangle = 2(133+46)+2(87+38)
= 2(179) + 2(125)
= 358+ 250
= 608 sq.units
Question 6.
CHALLENGE On a separate piece of paper, draw and label a rectangle with an area of 32 square units and a perimeter of 36 units. Use numbers or words to show that you are correct. Attach the piece of paper to this page.
Answer:
Length of rectangle(l) = 16 units
Width of rectangle(w) = 2 units
Area (A) = 16 x 2
= 32 sq.units
Perimeter(p) = 2 (l + w)
= 2( 16 + 2 )
= 2(18)
= 36 units.