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The length of a garden is 5m longer than its width and the area is 36m,2 how long is the garden ?

a.4m b.5m c.9m d.13m

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2
by zacari00

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a.4m b.5m c.9m d.13m

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by zacari00

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area = 36 square meter

Formula: l*w = 36

Sol'n: (5 + w) w = 36

w^2 + 5w = 36

w^2 + 5w -36 = 0

(-w - 9) (-w + 4) = 0

-w - 9 = 0 | -w + 4 = 0

-w = 9 | -w = -4

-1(-w) = (9) -1 | -1(-w) = (-4) -1

w = -9 | w = 4

{since there's no negative measurement, we will choose w = 4}

width = 4

length = 5 +w

= 5 +4

= 9

Checking:

L*W = Area

9m*4m = 36m^2

l = w + 5

w = w

A = lw

36 = (w+5) w

A = w²+5w-36 = 0

a = 1 b= 5 c= -36

w=

w=

2(1)

w=

2

w=

2 2

w=

2 2

* there are no negative measurement so we must use the positive answer which is 4 in replacing the value of w.

l = w+5 = 4+5 =

w = 4m

~ the answer in the given question is c. 9m