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Marysya12 [62]
3 years ago
11

The length of a particular rectangle is 4 greater than the width of the rectangle. If the perimeter of the rectangle is 16, what

is the area of the rectangle?
Mathematics
2 answers:
Softa [21]3 years ago
7 0
So if we say the width is x, and the length is x+4, we know that 2(x+4) + 2x =16.

Open up the parenthesis with the distributive property, and you get 2x + 8 + 2x = 16.

Subtract 8 from both sides.

2x + 2x = 8

Or

4x = 8

/4 /4

x = 2

So therefore, since the width is x, then the width is 2. The length is x+4, or 6.

The area is length times width.

2×6 = 12

So the area of the rectangle is 12 square units.
Nuetrik [128]3 years ago
4 0
2l+2w=perimeter <= equation for perimeter 
<span>w+4=l <=length is 4 greater than width </span>
<span>2w+2(w+4)=24 <= plug in the l in the first equation with the second equation </span>
<span>2w+2w+8=24 <= solve the equation </span>
<span>4w=16 </span>
<span>w=4 </span>
<span>and, since </span>
<span>w+4=l <= length is 4 greater than width </span>
<span>then l=4+4 </span>
<span>l=8</span>
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6 0
2 years ago
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