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.

**Spark Your Learning**

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 _____

Answer:

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.

Answer:

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?

**Show your work.**

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?

___________________________

Answer:

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?

_________________________

Answer:

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?

Answer:

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

Answer:

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

Answer:

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.

**On Your Own**

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?

____________________

Answer:

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

Answer:

Area = 25 square miles

Explanation:

Multiply: 5 x 5 = 25

Area = 25 square miles.

Question 5.

Multiply. ____

Area = ___ square meters

Answer:

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.

Answer:

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?

__________________________