Into Math Grade 3 Module 2 Lesson 4 Answer Key Solve Problems with Area

We included HMH Into Math Grade 3 Answer Key PDF Module 2 Lesson 4 Solve Problems with Area to make students experts in learning maths.

HMH Into Math Grade 3 Module 2 Lesson 4 Answer Key Solve Problems with Area

I Can multiply side lengths to find the area of a rectangle and solve real-world problems.

Andres measures the side lengths of a rug for his office. What is the area of the rug?
Draw to show how you can find the area of the rug.

The area of the rug is _____

Explanation:
Andres measures the side lengths of a rug for his office
The rug 4 rows of 5 unit squares
Multiply: 4 x 5 = 20
1 square unit is 1 foot
So, the area of the rug is 20 feet.

Turn and Talk Compare finding the area of the rug to finding the area of an array.
There are 4 rows of 5 unit squares
So, 4 x 5 = 20
The area is 20 square feet.

Build Understanding

1. Vikki measures the side lengths of a sheet of paper to make a greeting card. How can you find the area of Vikki’s sheet of paper?

How can unit squares arranged in a rectangle help you find the area?

A. How many unit squares would fit along the side of the sheet of paper that is 3 inches long?
____________________
How many unit squares would fit along the side of the sheet of paper that is 5 inches long?

B. What multiplication equation can you write to solve the problem? _________
C. What is the area of the sheet of paper?
___________________________

Explanation:
Vikki measures the side lengths of a sheet of paper to make a greeting card
The sheet is 3 inches long and 5 inches wide
So, it is like 3 rows of 5 unit squares
3 x 5 = 15
So, the area of the greeting card is 15 square inches.

Step It Out

2. Trev and Laney each measure a garden. Which garden has the greater area?

A. Multiply to find the area of Garden T.
_________________________
B. Multiply to find the area of Garden L.
_________________________

C. Compare the areas. Write <, >, or =.
_________________________
D. Which garden has the greater area?
_________________________
Garden T has greater area

Explanation:
Area of garden T:
4 x 4 = 16 square yards
Area of garden Y:
4 x 3 = 12 square yards
16 > 12
So, Area of Garden T is greater.

Turn and Talk How is using a multiplication equation to find the area of a rectangle like using an array to find the area?
In multiplication equation we multiply the length and width of a shape in the same way in array we multiply the number of rows and columns.

Check Understanding Math Board

Question 1.
A magnet has the shape of this rectangle. What is the area of the magnet?

Multiply. ____
Area = ___ square inches
Area = 6 square inches

Explanation:
A magnet has the shape of this rectangle
It is 3 inches long and 2 inches wide
Multiply: 3 x 2 = 6
So, the area is 6 square inches.

Question 2.
A sticker has the shape of this rectangle. What is the area of the sticker?

Multiply. ____
Area = ___ square centimeters
Area = 8 square centimeters

Explanation:
A sticker has the shape of this rectangle
It is 4 centimeters long and 2 centimeters wide
Multiply: 4 x 2 = 8
So, the area is 8 square centimeters.

Question 3.
Mari has a blue gymnastics mat in the shape of a rectangle. What is the area of the mat?
____________________

Mari also has a red gymnastics mat in the shape of a rectangle. What is the area of the mat?
________

Which color mat has the greater area?
____________________
Red color mat has greater area

Explanation:
Mari has a blue gymnastics mat in the shape of a rectangle
It is 3 feet long and wide
Multiply: 3 x 3 = 9
Area is 9 square feet
Mari also has a red gymnastics mat in the shape of a rectangle
It is 5 feet long and 2 feet wide
Multiply: 5 x 2 = 10
Area is 10 square feet
10 > 9
So, Red color mat has greater area.

Find the area of the rectangle. Write a multiplication equation.

Question 4.

Multiply. ____
Area = ___ square miles
Area = 25 square miles

Explanation:
Multiply: 5 x 5 = 25
Area = 25 square miles.

Question 5.

Multiply. ____
Area = ___ square meters
Area = 12 square meters

Explanation:
Multiply: 4 x 3 = 12
Area = 12 square meters

Question 6.
Reason A computer mouse pad in the shape of a rectangle has an area of 16 square inches. One of the side lengths is 4 inches. Write an equation to find the unknown side length. Then solve.
4 x 4= 16

Explanation:
A computer mouse pad in the shape of a rectangle has an area of 16 square inches
One of the side lengths is 4 inches
16 ÷ 4 = 4
So, the equation that solves the problem is 4 x 4 = 16
The length of the unknown side is 4 inches.

I’m in a Learning Mindset!

What decisions did I make when solving Problem 3?
__________________________

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