the length of a rectangle is 6 meters more than its width. If the area of the area of the rectangle is 135 square meters, find its dimensions.

Answer 1

Let's use the variable w to represent the width of the rectangle.

Then the length can be represented by the following expression: (x + 6)

Since area is equal to length times width, we can write the following equation for the area:

A = length * width

135 = (w + 6) * w

Now we can solve for w after using the distributive property and factoring:

135 = (w + 6) * w

135 = w^2 + 6w

0 = w^2 + 6w - 135

This factors to:

0 = (w + 15) (w -9)

w = -15 OR w = 9

Since the width can not be a negative number, we can only use the solution of w = 9 meters

Then the length will be (w + 6) or 9 + 6 = 15 meters

So the length is 15 meters and the width is 9 meters.