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irina1246 [14]
3 years ago
11

The length of a rectangle is eight more than twice the width. The perimeter is 64. Find the length and width

Mathematics
2 answers:
notsponge [240]3 years ago
6 0

Answer:

24 and 8

Step-by-step explanation:

The formula for the perimeter of the rect. is P = 2W + 2L.

Here, L = 2W + 8, so the area formula becomes:

P = 2W + 2(2W + 8) = 64

Dividing all terms by 2 reduces this to:

         W + 2W + 8 = 32, or 3W = 24, or W = 8.

Then:  L = 2W + 8 = 2(8) + 8 = 24

Check:  does 2W + 2L = 64 when these values for W and L are substituted?

              Is 2(8) + 2(24) = 64   true?  Yes

The length and width are 24 and 8 respectively.

Rufina [12.5K]3 years ago
5 0

Answer:

width 32 length 32

Step-by-step explanation:

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