Question

The width of a rectangle is 7 inches less than the length. The perimeter is 70 inches Find the length and the width.

Answer 1

l = 21 inches

w = 14 inches

Explanation:

Let l is the length of rectangle and w is the width of rectangle.

From question statement,we observe that

The width of rectangle is 7 inches less than the length.

P = 70 inches and w = l-7

the formula to find perimeter is:

P = 2l+2w

putting the given values of perimeter and width,we get

70 = 2l+2(l-7)

70 = 2l+2l-14

add like terms

70+14 = 2l+2l

84 = 4l

l = 21 inches

width is:

w =(21-7) inches

w = 14 inches

Hence, the length of rectangle is 21 inches and width is 14 inches.

Answer 2

Lenght: 21 inches.

Width: 14 inches.

Explanation:

1. You know that the width (W) of a rectangle is 7 inches less than the length (L), then:

`W=L-7`

2. The perimeter is 70 inches.

3. The formula for calculate the perimeter of a rectangle is:

`P=2L+2W`

3. Substitute
`W=L-7` and the value of the perimeter into the equation to calculate the perimeter and solve for the length:

`70=2L+2(L-7)`

`70=2L+2(L-7)\\84=4L\\L=21`

4. Then the width is:

`W=L-7=21-7=14`