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Alenkinab [10]
3 years ago
5

The area of a bulletin board is 52 square feet. The length is 3 feet less than4 times the width. Find the length and width

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

The length of the bulletin board is 13\ ft

The width of the bulletin board is 4\ ft

Step-by-step explanation:

Let

x-----> the length of the bulletin board

y-----> the width of the bulletin board

we know that

The area of the rectangle (bulletin board) is equal to

A=xy

we have

A=52\ ft^{2}

so

52=xy ------> equation A

x=4y-3 ------> equation B

substitute equation B in equation A and solve for y

52=(4y-3)y

4y^{2}-3y-52=0

Using a graphing calculator------> solve the quadratic equation

The solution is

y=4\ ft

see the attached figure

Find the value of x

x=4(4)-3=13\ ft

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