Recall the formula for finding the area of a rectangle. Define a variable for the width and set up an equation to find the dimensions

Question

Recall the formula for finding the area of a rectangle. Define a
variable for the width and set up an equation to find the dimensions of a
rectangle that has an area 144 square inches, given that the length is 10
inches longer than its width.

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2 weeks 2021-09-12T04:40:43+00:00 2 Answers 0

Step-by-step explanation:

Given : The length is 10
inches longer than its width.

Area of rectangle is 144 sq.inches

To Find : Define a  variable for the width and set up an equation to find the dimensions of a  rectangle

Solution:

Let the width be x

Since we are given that The length is 10
inches longer than its width.

So, Length of rectangle = x+10

Area of rectangle =

=

We are given that Area of rectangle is 144 sq.inches

So,

Since width cannot be negative

So, width of rectangle is 8 inches

Length of rectangle = x+10 = 8+10 = 18

Hence an equation to find the dimensions of a  rectangle that has an area 144 square inches is

2. w=width,
w(w+10)=144
______
The formula for a rectangle area is length times width.