Question

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet. The width is one four the length of the banner. What are the dimensions of the banner

Answer 1

The dimensions of the rectangle-shaped banner with an area of 144 square feet, where the width is one-fourth of the length, are 24 feet in length and 6 feet in width.

Step-by-step explanation:

The question is about finding the dimensions of a banner where the area is given as 144 square feet, and the width is one-fourth the length. To find the dimensions, we will designate the length as 'L' and the width as 'W'. We are told that W = 1/4 L. Since the area of a rectangle is the product of its length and width (Area = Length × Width), we can write the equation 144 = L × W, substituting the expression for W, we get 144 = L × (1/4 L).

After simplifying this equation further, we get L^2 = 144 × 4. Then, L = √(576) which gives us L = 24 feet. The width W = 1/4 L, so W = 1/4 × 24 = 6 feet. Therefore, the banner's dimensions are 24 feet by 6 feet.

Answer 2

We know that area of rectangle its equail A=l*w.
We know that length is 4 times greater than width, so we can say
l=4x and w=x
Knowing that area A=144 we can say
4x*x=144

`4x^2=144 \\ x^2=36 \\ x=6` -
w=6 - its the width
l=6*4=24 - its the length