What is the length?? Help plz

Mathematics

1 answer:

vitfil [10]3 years ago

7 0

We need to find the width of the rectangle, so let's isolate w (the width) in the formula for perimeter of a rectangle.

P = 2l + 2w

P - 2l = 2w

P/2 - l = w

w = P/2 - l

The width is the perimeter divided by 2 minus the length.

To address the length, it is "5 cm longer than twice the length of the width" or 2w + 5. Since the perimeter is given, we can plug these two values into the above formula and solve for w, the width.

w = P/2 - l

w = 88/2 - (2w + 5)

w = 88/2 - 2w - 5

w = 44 - 2w - 5

w = 39 - 2w

3w = 39

w = 13

Answer:

The width of the rectangle is 13 cm.

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