The length of a garden is 5m longer than its width and the area is 14m². How long is the garden?
a) 9
b) 7
c) 5
d) 2
a) 9
b) 7
c) 5
d) 2
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Answer:
b. 7m
Step-by-step explanation:
GIVEN:
AREA OF A RECTANGLE= L×W
LENGTH = W+5
WIDTH =W
AREA= 14m²
A=L×W
14= (W+5)W
14= W²+5W
W²+5W-14=0
(W+7)(W-2)=0
W=-7; W=2. THE GARDEN IS 2m. WIDE BECAUSE A DIMENSION CAN'T BE NEGATIVE.
IF THE WIDTH IS 2m ;
LENGTH = W+5
LENGTH = 2+5
LENGTH = 7 m.
THUS, THE GARDEN IS 7m. LONG
CHECKING:
A=L×W
=2 ×7
=14m²