Question

The figure is formed by rectangles. Find the total area. The diagram is not to scale.

a. 104 ft squared
b. 36 ft squared
c. 80 ft squared
d. 68 ft squared

Answer 1

it's

`a1 = 2ft * 2ft = 4ft {}^(2) \\ +a2 = 8ft * 8ft = 64ft {}^(2) + 4ft {}^(2) \\ = 68ft {}^(2)`
so, it's d), 68ft^2

Answer 2

correct option is d) 68 ft²

Explanation:

The area of square is calculated by formula A = a²,

Where 'a' is side of square

In provided figure, we can see right side of rectangle in which two sides are given , which shows this is rectangle

and rest length is 10-2=8ft of left side rectangle

with refrence of figure-2

now calculate the area of first rectangle
`A_(1)` = (a1)² =8² =64 ft²

and the area of second rectangle
`A_(2)` = (a2)² =2² =4 ft²

Total area of diagram is;

A =
`A_(1)\,+\,A_(2)`

A = 64 ft² +4 ft²

A = 68 ft²

Hence, correct option is d) 68 ft²