Question

Find the value of x. Show all work.

Area of the rectangle is 30 sq. Ft

Answer 1

The answer is 3 ft

Explanation:

Given;

• Area of rectangle (A) = 30 sq ft.
• Length (l) = x
• Width (w) = 3x + 1

To Find;

• Value of x

Now, we know that

A = l × w

30 = (x) × (3x + 1)

30 = 3x² + x

3x² + x = 30

3x² + x - 30 = 0

3x² - 9x + 10x - 30 = 0

3x(x - 3) + 10(x - 3) = 0

(x - 3) (3x + 10) = 0

x = 3 ft

Thus, The value of x is 3

For Verification Only ;

30 = (x) × (3x + 1)

30 = (3) × (3*3 + 1)

30 = 3 × 10

30 = 30

Hence, L.H.S = R.H.S