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

Question

4 years ago

8

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?

1 answer:

Vladimir79 [104] · Answer 1 · 2022-01-31T00:23:00+03:00

Answer:

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.