Question

If perimeter of rectangle is 82 and area 400 then width is

Answer 1

2(x+y)=82,xy=400 ,x=16 ,y=25

Answer 2

2(l+b) = 82 (perimeter formula)

l+b = 41

l=41-b. be equation one

lb = 400 (area formula). be equation 2

write equation one in equation two

(41-b)b =400

41b - b^2 - 400 = 0

b^2 -41b + 400 = 0

b^2 -16b -25b +400 =0

b(b-16) -25(b-16) = 0

(b-25)(b-16) = 0

b = 16,25

the width is 16 units and length is 25 units.....

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