Question

what is the length of a rectangular garden whose perimeter is 32cm and area is 39cmsquare​

Answer 1

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Step-by-step explanation:

perimeter = 2(l + b) = 32

l + b = 322

l + b = 16

b = 16 - 1.......(1)

Area = l + b = 39

lb = 39 .....(2)

put (1) into (2)

l(16 - 1) = 39

16l - l2 = 39

l2 = 13l - 3l + 39 = 0

l(l - 13) - 3(1 - 13) = 0

(l - 3)(l + 130 = 0

l - 3 = 0 or l - 13 = 0

l = 3cm or l = 13cm; The length in 13cm

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Answer 2

Answer:

perimeter of rectangle=2×(length+breadth)

32cm=2×(length+breadth)

32/2cm=(length+breadth)

16cm=(length+breadth)

Let length be X and breadth be Y

16cm=(X+Y)

16cm-X=Y

area of rectangle=(length×breadth)

Let length be X and breadth be Y

39cm^2=(X×Y)

39cm^2=(X×{16cm-X})

39cm^2=(16Xcm-X^2)

39cm^2=X(16-X)

39cm^2=XY