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First time getting help, lol

A rectangle with a length of 20 centimeters and an unknown width of x centimeters has a smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of x-3. The area of the shaded region (hat remains) is 80 centimeters

Solver for x

Respuesta :

aleeshasaji

Answer:

x = 32 cm

Step-by-step explanation:

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abidemiokin

The value of x is 8cm

The formula for calculating the area of a rectangle is expressed as:

A = LW

L is the length

W is the width

For the rectangle with a length of 20 centimeters and an unknown width of x, the area is expressed as:

A = 20x

For the smaller rectangle cut out of it;

L = 16cm

W = x-3

As = 16(x-3)

The area of the shaded portion will be equivalent to the difference of both areas as shown:

20x - 16(x-3) = 80 (SInce the area of the shaded portion is 80cm)

Find the value of x;

20x - 16(x-3) = 80

Expand

20x - 16x + 48 = 80

4x = 80 - 48

4x = 32

x = 32/4

x = 8

Hence the value of x is 8cm.

Learn more here: https://brainly.com/question/20968176

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