All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 10 Lesson 7 Finding the Area of a Rectangle **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 10 Lesson 7 Finding the Area of a Rectangle

**Multiply**

**Find the area of each shape.**

Question 1.

Question 2.

Answer:

The above shape is a square.

Given Side = 74.2 km

Area of the square (A) = Side x Side

A = 74.2 km x 74.2 km

**A = 5,505.64 square kilometers**

Area of the square is equal to 5,505.64 square kilometers.

Question 3.

A rectangle with a length of 105.7 mm and a width 66.8 mm

Answer:

Given

length = 105.7 mm

Width = 66.8 mm

Area of the rectangle (A) = length x width

A = 105.7 mm x 66.8 mm

**A = 7,060.76 square millimeters**

Area of the rectangle is equal to 7,060.76 square millimeters.

Question 4.

Answer:

The above shape is a square.

Given side = 64 cm

Area of the square (A) = Side x Side

A = 64 cm x 64 cm

**A = 4,096 square centimeters**

Area of the square is equal to 4,096 square centimeters.

Question 5.

Answer:

The above shape is rectangle.

Given

length = 81\(\frac{3}{4}\) in

Width = 47\(\frac{1}{4}\)

Convert the mixed fraction into fraction.

Length = \(\frac{327}{4}\)

Width = \(\frac{189}{4}\)

Area of the rectangle (A) = length x width

A = \(\frac{327}{4}\) x \(\frac{189}{4}\)

A = \(\frac{61803}{16}\)

Convert the fraction into mixed fraction.

**A = 3862\(\frac{11}{16}\) square inches**

Area of the rectangle is equal to 3862\(\frac{11}{16}\) square inches.

Question 6.

A square with a side that measures \(\frac{4}{5}\) mi

Answer:

Given side = \(\frac{4}{5}\) mi

Area of the square (A) = Side x Side

A = \(\frac{4}{5}\) mi x \(\frac{4}{5}\) mi

**A = \(\frac{16}{25}\) square mi**

Area of the square is equal to \(\frac{16}{25}\) square mi.

Question 7.

Which has a greater area: a rectangle that measures 15 m by 17 m or a square with a side that measures 16 m? What is the area of each plane shape?

Answer:

Given

length of the rectangle = 17 m

Width of the rectangle = 15 m

Area of the rectangle (A) = length x width

A = 17 m x 15 m

**A = 255 square meters**

Area of the rectangle is equal to 255 square meters.

Given

Side of a square = 16 m

Area of the square (A) = Side x Side

A = 16 m x 16 m

**A = 256 square meters**

Area of the square is equal to 256 square meters.

The **square** has the greater area.