Into Math Grade 7 Module 10 Answer Key Analyze Figures to Find Circumference and Area

We included HMH Into Math Grade 7 Answer Key PDF Module 10 Analyze Figures to Find Circumference and Area to make students experts in learning maths.

HMH Into Math Grade 7 Module 10 Answer Key Analyze Figures to Find Circumference and Area

What Comes Next in the Pattern?

The figures shown are squares, non-square rectangles, and triangles.

Find the area of each figure in square centimeters. Look for patterns.

A.

___________ cm²
Answer:
1 sq cm or 1 cm²
Explanation:
Area of a square A = Side X Side
A = 1 x 1 =1 sq cm or 1 cm²

B.

___________ cm²
Answer:
4 cm²
Explanation:
Area of a rectangle A = length x width
A = l x w
A = 8 x 0.5
A = 4 cm²

C.

___________ cm²
Answer:
9 cm²
Explanation:
Area of a triangle A = 1/2  base x height
A = 1/2 x 6 x 3
A = 0.5 x 18
A = 9 cm²

D.

___________ cm²
Answer:
16 sq cm or 16 cm²
Explanation:
Area of a square A = Side X Side
A = 4 x 4 =16 sq cm or 16 cm²

E.

___________ cm²
Answer:
25 cm²
Explanation:
Area of a rectangle A = length x width
A = l x w
A = 6.25 x 4
A = 25 cm²

F.

___________ cm²
Answer:
36 cm²
Explanation:
Area of a triangle A = 1/2  base x height
A = 1/2 x 9 x 8
A = 0.5 x 72
A = 36 cm²

Turn and Talk

If the pattern continues, what three figures will appear in the next row? What will the areas of the figures be?
Answer:
square , rectangle and triangle
Explanation:
Square
A square has four equal sides and four equal angles.
Area of a square A = Side X Side
Rectangle
A rectangle has two pairs of parallel sides opposite to each other, with four angles.
Area of a rectangle A = length x width
Triangle
A triangle has three sides, threes vertex and three angles.
Area of a triangle A = 1/2  base x height

Are You Ready?

Complete these problems to review prior concepts and skills you will need for this module.

Solve One-Step Equations

Solve the equation.

Question 1.
\(\frac{x}{2}\) = 5 for x ___________
Answer:
10
Explanation:
\(\frac{x}{2}\) = 5 for x
x = 5 x 2 = 10

Question 2.
2w = \(\frac{10}{3}\) for w __________
Answer:
\(\frac{5}{3}\)
Explanation:
2w = \(\frac{10}{3}\)
w = \(\frac{5}{3}\)

Question 3.
\(\frac{h}{20}\) = \(\frac{5}{4}\) for h ___________
Answer:
25
Explanation:
\(\frac{h}{20}\) = \(\frac{5}{4}\)
h = \(\frac{5 x 20}{4}\)
h = 25

Evaluate Algebraic Expressions

Evaluate each given expression for n = -3.

Question 4.
4n + n ____________
Answer:
-15
Explanation:
4n + n for n = -3
by substituting n = -3
4(-3) + (-3) = -12 – 3 = -15

Question 5.
-n + n² ___________
Answer:
12
Explanation:
-n + n² for n = -3
-(-3) + (-3)² = 3 + 9 = 12

Question 6.
3 – n² ____________
Answer:
-6
Explanation:
3 – n² for n = -3
3 – (-3)²
3 – 9 = -6

Area of Quadrilaterals and Triangles

Question 7.
What is the area of a rectangle that has a base of 5 centimeters and a height of 2 centimeters?
Answer:
10 sq cm
Explanation:

Area of a rectangle A = length x width
A = l x w
A = 5 x 2
A = 10 cm²

Question 8.
What is the area of a square with a side length of 2.5 feet?
Answer:
6.25 cm²
Explanation:
Area of a square A = Side X Side
A = 2.5 x 2.5 = 6.25 sq cm or 6.25 cm²

Question 9.
What is the area of the triangle shown?

Answer:
14 cm²
Explanation:
Area of a triangle A = 1/2  base x height
A = 1/2 x 4 x 7
A = 0.5 x 28
A = 14 cm²

Question 10.
What is the area of the parallelogram shown?

Answer:
15 cm²
Explanation:
Area of a parallelogram A =  base x height
A = 1.5 x 10
A = 15 cm²