# 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 (show solution)

2
by zacari00

2014-08-12T19:15:38+08:00
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

so the answer to my question is 4 ?
9 po. ang length po ang basehan.
i see , sorry .. your too GOOD thumbs up :D
2014-08-13T22:51:07+08:00
A = 36 m²
l = w + 5
w = w

A = lw
36 = (w+5) w
A = w²+5w-36 = 0

a = 1 b= 5 c= -36

w= -b +- √b²-4ac
2a
w= -5 +- √(5)²-4(1)(-36)
2(1)
w= -5 +- √169
2

w= -5 + 13                      w= -5-13
2                                  2
w= 8  = 4                        w= -18 = -9
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 = 9m
w = 4m

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