A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.

41 inches

Step-by-step explanation:

The formula for Area of a rectangle is ;

A = L × W

L = Length

W = Width

A rectangle has a length of 31 inches less than 3 times its width.

L = 3W - 31

If the area of the rectangle is 984 square inches, find the length of the rectangle

Hence,

984 = (3W - 31) × W

984 = 3W² - 31W

Hence

3W² - 31W - 984

3W(W - 24) + 4(W - 24) = 0

(3W + 41)(W - 24) = 0

W - 24 = 0

W = 24 inches

We have to find the Length

L = 3W - 31

L = 3(24) - 31

L = 72 - 31

L = 41 inches

The Length = 41 inches

The Length of the rectangle is 41 inches

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right