the length of a rectangle is 1 1/8 cm longer than the width. The perimiter of the rectangle is 13 1/4 cm. What are the width and length?

Length = 3 7/8cm

Width  = 2 3/4 cm

Step-by-step explanation

Let the length of the rectangle by L

Let the width be W

If the length of a rectangle is 1 1/8 cm longer than the width, then;

L = W + 1 1/8

L = W +9/8

perimeter of the  rectangle = 2(L+W)

perimeter of the  rectangle = 2(W + 9/8 + W)

13 1/4 = 2(2W + 9/8)

53/4 = 4W + 9/4

4W = 53/4 - 9/4

4W = 44/4

4W = 11

W = 11/4

Hence the width of the rectangle is 11/4 or 2 3/4 cm

Recall that L = W + 9/8

L = 11/4 + 9/8

L = (2(11) + 9)/8

L = 31/8

L = 3 7/8cm

hence the length is 3 7/8 cm

5

step-by-step explanation:

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1