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Can you please give me a step by step explanation/solution. Thanks

Can You Please Give Me A Step By Step Explanationsolution Thanks class=

Sagot :

The Perimeter of a Rectangle

Given a rectangle of width w and length l, the perimeter is calculated as the sum of the side lengths, that is:

P = w + w + l + l

Or, equivalently

P = 2w + 2l

Hermann was calculating the perimeter of a rectangle and built the expression:

P = x + x + 4x + 4x feet

Note this expression is similar to the first one. This means that the width of the rectangle is x and the length is 4x.

a) We'll draw a rectangle with such dimensions:

b) Assuming the base is the length and the height is the width, the relationship between the base and the height is

4x / x = 4

This means the base is four times the height

c) We are given the perimeter as P = 60 feet.

We need to solve the equation

x + x + 4x + 4x = 60

Simplifying:

10x = 60

Dividing by 10:

x = 60/10

x = 6 feet

The base is 4x = 24 feet.

The base of Herman's rectangle is 24 feet

The height of Herman's rectangle is 6 feet

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