Question

a rectangle has a width w and it's length is 3w-2. if the area is 65ft^2, find the length and width of the rectangle. ​

Answer 1

Width = 5

Length = 13

Explanation:

Area of a rectangle:

=> L x W = Area

After knowing this, we could find the factors of 65

=> 65 = 5 x 13, 1 x 65

So, the only way is 5 x 13.

So, Width = 5

Length = 13

Let's check whether our answer is correct.

=> (3w - 2) * w = 65

=> (3 (5) - 2) * 5 = 65

=> (15 - 2) * 5 = 65

=> 13 * 5 = 65

=> 65 = 65

So, our answer is correct.