The perimeter of a rectangle is 15x+17y if the length is 7/2x+7y then find the width of the rectangle

w = 4x + 3/2y

Step-by-step explanation:

Perimeter of a Rectangle: P = 2w + 2l

Step 1: Define

P = 15x + 17y

l = 7/2x + 7y

w = unknown

Step 2: Solve for w

9514 1404 393

  4x +3/2y

Step-by-step explanation:

The perimeter is twice the sum of length and width. We can use this to find the width.

  P = 2(L+W)

  15x +17y = 2(7/2x +7y +W)

  15x +17y = 7x +14y +2W . . . . . . eliminate parentheses

  8x +3y = 2W . . . . . . . . . . . . . . . subtract 7x +14y

  W = 4x +3/2y . . . . . . . divide by 2

The width of the rectangle is 4x +3/2y.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!