Question

The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the width. What is the width of the rectangle? A. 9 B. –5 C. 3 D. 5 Please select the best answer from the choices provided A B C D

Answer 1

Option C. is best answer because it is the closest of our actual answer.

What is the area of a rectangle ?

Area of the rectangle is product of it's length and width.

According to the given question

The length of a rectangle is 4 units more than twice it's width

Assuming width to be x

∴ length(l) = 2x + 4

Area is 25 more than 4 times it's width

∴ Area = 4x + 25

We know area of a rectangle is the product of length and width.

(l×w) = 4x + 5

{(2x +4) × x} = 4x + 24

2x² + 4x = 4x + 24

2x² = 24

x² = 12

 x =± $\sqrt{12}$

 x = ±$\sqrt{2.2.3}$

 x = ± 2$\sqrt{3}$

∴ Width is +2$\sqrt{3}$ because magnitude can not be negative.

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