Question

Given a rectangle with width equal to (2x+1) units, length equal to (2x−1) units, and area equal to 35 square units, find the width of the rectangle.

Answer 1

The width of the rectangle is 7 units

Explanation:

Here, we want to find the width of the rectangle

Mathematically, the area of the triangle is length * width

(2x + 1)(2x-1) = 35

4x^2 - 1 = 35

4x^2 = 36

x^2 = 9

x = 3

Substituting 3 in 2x + 1

we have 2(3) + 1 = 6 + 1 = 7 units