SOLUTION: with of a rectangle is 3 inches less than one-half the lenght. what the lenght and width of the rectangle if the perimter is 36 inches.

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Question 100464: with of a rectangle is 3 inches less than one-half the lenght. what the lenght and width of the rectangle if the perimter is 36 inches.
Found 3 solutions by checkley71, doukungfoo, edjones:
Answer by checkley71(8403) About Me  (Show Source):
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W=L/2-3
2L+2(L/2-3)=36
2L+2L/2-6=36
2L+L=36+6
3L=42
L=42/3
L=14 ANSWER.
W=14/2-3
W=7-3
L=4
PROOF
2*4+2*14=36
8+28=36
36=36

Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
Perimete is equal to two times the length plus two times the width
OR
P=2L%2B2W
Given: perimeter is 36 inches
plug in 36 for the P
so
36=2L%2B2W
Given: the width is 3 inches less than 1/2 the length
so
W=%281%2F2%29L-3
W=%28L%2F2%29-3
Now plug in %28L%2F2%29-3 for the W
so
36=2L%2B2W
36=2L%2B2%28%28L%2F2%29-3%29
Now we can solve for L
36=2L%2B2%28%28L%2F2%29-3%29
36=2L%2B%282L%2F2%29-6
36=2L%2BL-6
36=3L-6
42=3L
14=L
So we have found the length equals 14 inches
We will use this to find the width
W=%28L%2F2%29-3
W=%2814%2F2%29-3
W=7-3
W=4
Now we have found the width equals 4 inches




Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
W=(L/2)-3
P=2(L+W)=36
2(L+((L/2)-3)=36 Replace W with (L/2)-3.
2L+2((L/2)-3)=36
2L+L-6=36
3L-6=36
3L=42 add 6 to each side.
L=14 divide 3 into each side.
W=14/2-3=4
Check:
4 is 3 inches less than 1/2 of 14
2(14+4)=36
Ed