Question

find the area of each figure.
1.

17 in.

5 in.
2.

10 m
3.

20 m

7 m

find the value of ( x ) in each figure. the area is given.
4.

( a = 121 , \text{yd}^2 )

( x )
5.

9 ft

( x )
( a = 72 , \text{ft}^2 )
6.

16 cm

( x )
( a = 144 , \text{cm}^2 )

Explanation:

Problem 1: Area of Rectangle

Step1: Recall rectangle area formula

The area \( A \) of a rectangle is \( A = \text{length} \times \text{width} \).
Given length \( = 17 \, \text{in} \), width \( = 5 \, \text{in} \).

Step2: Substitute values into formula

\( A = 17 \times 5 \)

Step3: Calculate the product

\( 17 \times 5 = 85 \)

Step1: Recall square area formula

The area \( A \) of a square is \( A = \text{side}^2 \) (or \( \text{side} \times \text{side} \)).
Given side \( = 10 \, \text{m} \).

Step2: Substitute values into formula

\( A = 10 \times 10 \)

Step3: Calculate the product

\( 10 \times 10 = 100 \)

Step1: Recall parallelogram area formula

The area \( A \) of a parallelogram is \( A = \text{base} \times \text{height} \).
Given base \( = 20 \, \text{m} \), height \( = 7 \, \text{m} \).

Step2: Substitute values into formula

\( A = 20 \times 7 \)

Step3: Calculate the product

\( 20 \times 7 = 140 \)

Answer:

The area of the rectangle is \( 85 \, \text{in}^2 \).

Problem 2: Area of Square