# math

posted by .

The width of a rectangle is 6 cm less than the length. A second rectangle, with a perimeter of 54 cm, is 3 cm wider and 2 cm shorter than the first. What are the dimensions of each rectangle. Please give complete answer :)

• math -

1ST Rectangle

Length = x cm
Width = (x - 6) cm

2nd Rectangle

Perimeter = 54 cm
Width = (x - 6) + 3 = (x - 3) cm
Length = (x - 2) cm
P = 2W + 2L
P = 2(X - 3) + 2(X - 2)
54 = 2x - 6 + 2x - 4
x = 16 cm
Width = x - 3 = 16 - 3 = 13 cm
Length = x - 2 = 16 - 2 = 14 cm

1st Rectangle

Width = x - 6 = 16 - 6 = 10 cm
Length = x = 16 cm

## Similar Questions

1. ### basic geometric

10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is one-half the length. The perimeter …
2. ### basic geometry

A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is on-half the length . The perimeter of the …
3. ### Math

The length of a rectangle is 14 centimeters less than twice its width. The perimeter of the rectangle is 62cm. What are the dimensions of the rectangle?
4. ### Algebra 1

This is a five step problem: The width of a rectangle is 6 cm less than the length. A second rectangle, with a perimeter of 54 cm, is 3 cm wider and 2 cm shorter than the first. What are the dimensions of each rectangle. I just don't …
5. ### math

the length of a rectangle is 5 ft more than twice the width. a)if x represents the width of the rctangle, represent the perimeter of the rectangle in terms of x. b) if the perimeter if the rectangle is 2 ft more than eight times the …
6. ### math

Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W. a) Set up an equation for the perimeter involving …
7. ### maths

the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm …
8. ### Algebra 2

The perimeter of a rectangle is 122m. The length of the rectangle is 11m less than 5 times the width. Find the dimensions of the rectangle.
9. ### Math

The first question is this: Helen designs a rectangle with an area of 225 square units. Her rectangle is the largest rectangle (that is, with largest area) with whole-number side lengths that can be made from the perimeter of the rectangle. …
10. ### Word Problem

The length and width of a rectangle are to each other as 4 is to 3. A second rectangle are 4 units longer and 2 units wider than the first one, and has twice as great an area as the first. Find the dimensions of the first rectangle.

More Similar Questions