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The length of a rectangle is 8 in more than its widthThe permiter of the rectangle is 24 inWhat sre the width and length of the rectangle?
Wiki User
∙ 14y ago
First, let's call the length of the rectangle L, and the width W.
We know that the length is 8 more than the width, i.e
L = W+8
Now we also know that the perimeter of a rectangle is P=2L+2W, where the P in this case is would be 24.
Which gives us 2 equations;
L = W+8 [1]
24=2L+2W [2]
Using simultaneous equations, lets find the perimeter in terms of W, by substituting in the value of L in equation [1]
24 = 2(W+8)+2W
Expand:
24 = 2W+16+2W
Simplify:
4W + 16 = 24
Subtract 16 from both sides:
4W = 8
W = 2
Now substitute W=2 into [1]:
L = 2+8
L = 10
Therefore:
The length and width of the rectangle are 10 units and 2 units respectively.
Wiki User
∙ 14y ago
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