Question

For which value of x is the figure a rectangle?

A. x = -1
B. x = 11
C. x = 11.5
D. x = 22.25

Answer 1

The corner is 90° in a rectangle so the two must add up to it.

The answer is B, because

11×3=33
5×11=55+2=57
57+33=90

Since the two add up to 90° This makes B the correct answer.

Answer 2

The value of x is 11.

Option (B) is correct.

Explanation:

By using the property of the rectangle .

In rectangle all four angles are 90° .

As the figure given in the question .

Thus

(5x + 2) + 3x = 90

Open the bracket

5x + 2 + 3x = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

`x = (88)/(8)`

x = 11

Therefore the value of x is 11.

Option (B) is correct.