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horrorfan [7]
3 years ago
7

The perimeter of a rectangle is 24mm. The length is 4mm less than triple the width. What are the dimensions of the rectangle

Mathematics
1 answer:
Bess [88]3 years ago
4 0
<h3><u>The length is equal to 8.</u></h3><h3><u>The width is equal to 4.</u></h3>

2l + 2w = 24

l = 3w - 4

Because we have a value for l, we can plug it into the first equation to solve for the exact value of w.

2(3w - 4) + 2w = 24

Distributive property.

6w - 8 + 2w = 24

Combine like terms.

8w - 8 = 24

Add 8 to both sides.

8w = 32

Divide both sides by 8.

w = 4

Now that we have a value for w, we can plug it into the second equation to solve for the exact value of l.

l = 3(4) - 4

l = 12 - 4

l = 8

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