A small plane is flying a banner is 144 square feet. The width of the banner is 1/4 the length of the banner. What are the dimensions of the banner?

width --- x

length --- 4x

x(4x) = 144
x^2 = 36
x=6

width = 6 ft, length = 24 ft

check:
area = 6x24 = 144

👎👎👎👎👎👎👎👎6ft by 24ft!

thank you for giving me the answer for my homework

To find the dimensions of the banner, we need to solve the given information. Let's assume the length of the banner as 'L' and the width of the banner as 'W'.

According to the problem, the area of the banner is 144 square feet, so we can form an equation using the area:

Length (L) * Width (W) = Area
L * W = 144

Another given information is that the width of the banner is one-fourth the length. Mathematically, we can write this as:

W = (1/4) * L

Now, we can substitute the value of W in terms of L into the first equation:

L * ((1/4) * L) = 144

Simplifying this equation:

(L^2)/4 = 144

Multiply both sides of the equation by 4 to get rid of the fraction:

L^2 = 576

Taking the square root of both sides:

L = sqrt(576)

L = 24

Now, substituting the value of L back into the equation for W:

W = (1/4) * 24

W = 6

So, the dimensions of the banner are 24 feet in length and 6 feet in width.

It is 6ft by 24ft. I am 10 yay

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