The length of a rectangle is 8 cm longer than its width. find the dimensions of the rectangle if its area is 108cm

Or about 15.136 centimeters by 7.136 centimeters.

Step-by-step explanation:

Recall that the area of a rectangle is given by:

Where w is the width and l is the length.

We are given that the length is 8 centimeters longer than the width. In other words:

And we are also given that the total area is 108 square centimeters.

Thus, substitute:

Solve for w. Distribute:

Subtract 108 from both sides:

Since the equation is not factorable, we can use the quadratic formula:

In this case, a = 1, b = 8, and c = -108. Substitute and evaluate:

So, our two solutions are:

Since width cannot be negative, we can eliminate the second solution.

And since the length is eight centimeters longer than the width, the length is:

So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,