# maths

posted by .

find the dimension of a rectangle with a perimeter of 54 cm if its length is 3cm less than twice its width also find the area of the rectangle

• maths -

Set up a system of equations:
Let
W=width
L=length
then
Perimeter =
54 = 2(L+W) ...(1)
L=2W-3 ...(2)

Solve W by substituting (2) in (1), and hence solve for L.

## Similar Questions

1. ### math

The length of a rectangle is 5 in. more than twice its width.?
2. ### 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 …
3. ### 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 …
4. ### math

the length of a rectangle is 1 cm less than twice its width. the area is 28 cm squared. find the dimensions of the rectangle. Just translate the English into "math" "the length of a rectangle is 1 cm less than twice its width" l=2w-1 …
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. ### maths

the length of a rectangle is 2 centimetres less than twice the width. the area of the rectangle is 180 square centimetres. find the length and width of the rectangle.
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

The length of a rectangle mailing letter is 3cm less than twice the width.The perimeter is 30cm. Find the dimensions of the label(length and width).
9. ### Math

The variable W represents the width of a rectangle. The length of the rectangle, L, is 5 less than twice the width. Write an expression for the length of the rectangle in terms of W. Write a simplified expression for the perimeter …
10. ### Maths

The area of a rectangle of width ycm is 140cm^2. If the width is reduced by 2cm, the length increases by 3cm, and the area decreases to 136cm^2 to form an equation that enables you to determine the value of Y and hence, find the diagonal …

More Similar Questions