Answer:
Step 1 write the equation for perimeter (2L+2W =24)
Step 2 write the equation for area L x W = 32
Step 3 rewrite the equation of area so that one variable is on the right side L=32/W
Step 4 substitute L from step 3 into Equation 1 and simplify 2(32/W)+2W=24
Step 5 having found the width in step 4, use equation 3 to find the length
Step-by-step explanation:
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Area = L*W
Perimeter = 2(L+W)
So say L*W=32
and 2(L+W) = 24 which is 2L+2W =24
From area L=32/W
Then substitute it into perimeter
2(32/W)+2W=24 if you simplify this you get Width is 4 and 8
then length =32/W but W is 4 and 8 So L= 8 and 4
Meaning you have two options first rectangle is W=4 and L is 8, second triangle W=8 and Length=4