The area of a rectangle is 48 square centimeters. if the length and width are each increased by 4 centimeters, the area of the larger rectangle is 120 square centimeters. find the dimensions of the orginial rectangle.

The dimensions of the original rectangle are 8 cm x 6 cm

Step-by-step explanation:

Let

x----> the length of the original rectangle

y----> the width of the original rectangle

we know that

The area of the original rectangle is

so

-----> equation A

If the length and width are each increased by 4 centimeters, the area of the larger rectangle is 120 square centimeters

so

-----> equation B

Substitute equation A in equation B

Multiply by y both sides

using a graphing tool------> solve the quadratic equation

I assume that the length is greater than the width

The solution is

see the attached figure

Find the value of x

The dimensions of the original rectangle are 8 cm x 6 cm

x = 3 ± √(5+y)

faster, im not sure why but i know it is faster