Eric is designing a logo for his company. The logo is a rectangle with a length twice as long as the width. The logo is designed to be patched on the back of company uniforms. If the area of the patch is 450cm2, what is the width of the logo patch in centimeters?

Question

Mathematics

Stephanie Lee

21 July, 11:51

Eric is designing a logo for his company. The logo is a rectangle with a length twice as long as the width. The logo is designed to be patched on the back of company uniforms. If the area of the patch is 450cm2, what is the width of the logo patch in centimeters?

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Answers (1)

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Boston Allen · Answer 1

The width of the logo need to be 15 cm.

Step-by-step explanation:

Since the logo is a rectangle, it's area is given by the product of the width and the length.

Area = width*length

Since the width is an unkown value we will call it "x" and the length is twice the width so it'll be "2*x". The area of the logo is:

Area = x * (2*x) = 2*x²

In order to have a patch that is 450 cm² we need:

2*x² = 450

x² = 450/2 = 225

x = sqrt (225) = 15 cm

The width of the logo need to be 15 cm.