Zacari00viz
Answered

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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Sagot :

Zreihkeirahmviz
Given: length = 5 + w
          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