The area is 144 square feet the width is 1\4 of the length of the banner so what are the dimensions ?

Mathematics

1 answer:

mina [271]3 years ago

5 0

Answer:

width is 6 ft, length is 24 ft

Step-by-step explanation:

We can set up 2 equations to help us solve this.

Equation 1: "The area is 144 square feet" gives us

LW = 144 (area of a rectangle)

Equation 2: "the width is 1\4 of the length" give us

W = L/4

We can plug the second equation into the first equation...

Since W = L/4, we get

L(L/4) = 144 (W becomes L/4)

Now solve for L

L²/4 = 144

L² = 624 (multiply both sides by 4)

L = 24 ft (take the square root of each side)

Since L = 24, and W = L/4,

W = 24/6, so W = 6 ft

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