MATH SOLVE

2 months ago

Q:
# The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?A. length = 7 cm; width = 6 cmB. length = 4 cm; width = 9 cmC. length = 6 cm; width = 7 cmD. length = 5 cm; width = 5 cm

Accepted Solution

A:

A. length = 7 cm; width = 6 cm

Use w to represent width, p as perimeter, and l for length.

l = 2w - 5

2l + 2w = p

2(2w - 5) + 2w = 26

4w - 10 + 2w = 26

6w - 10 = 26

6w = 36

w = 6

The only option with a width of 6 is A.

To check your answer, you can plug it in.

2(6) - 5 = 12 - 5 = 7

Hope this helps.

Use w to represent width, p as perimeter, and l for length.

l = 2w - 5

2l + 2w = p

2(2w - 5) + 2w = 26

4w - 10 + 2w = 26

6w - 10 = 26

6w = 36

w = 6

The only option with a width of 6 is A.

To check your answer, you can plug it in.

2(6) - 5 = 12 - 5 = 7

Hope this helps.