the rectangle has an area of 24 square centimeters. find the length a of the rectangle.


the length of the rectangle is a and the width of the rectangle is a - 5

For this case we have that by definition, the area of a rectangle is given by:

Where:

a: It is the length of the rectangle

b: It is the width of the rectangle

We have as data:

So:

We look for two numbers that when multiplied get -24 and when added get -5.

These numbers are -8 and 3:

Thus, the solutions are:

We choose the positive value, so the length of the rectangle is A = 8

8 centimeters

45

step-by-step explanation: