Answer:
1.)area=length*width
l*w = 84
perimeter = 2(length of width)
2(l + w) = 38 divide both sides by 2
2.) the length is 12 meters and the width is 7 meters.
Step-by-step explanation:
1.)
l = the length of the garden
w = the width of the garden,
the area is 84 m^2 and since area=length*width we have
the perimeter is 38 and perimeter = 2(length of width)
l + w = 19
l = 19 - w
-------
plug l = 19 - w into l*w = 84
(19 - w)*w = 84m
w1 = 12 m
w2 = 7 m
2.) for w = 12 m we have l = 19 - 12 = 7 m
for w = 7 m we have l = 19 - 7 = 12 m and 12>7 we conclude:
the length is 12 meters and the width is 7 meters.
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Answers & Comments
Answer:
1.)area=length*width
l*w = 84
perimeter = 2(length of width)
2(l + w) = 38 divide both sides by 2
2.) the length is 12 meters and the width is 7 meters.
Step-by-step explanation:
1.)
l = the length of the garden
w = the width of the garden,
the area is 84 m^2 and since area=length*width we have
l*w = 84
the perimeter is 38 and perimeter = 2(length of width)
2(l + w) = 38 divide both sides by 2
l + w = 19
l = 19 - w
-------
plug l = 19 - w into l*w = 84
(19 - w)*w = 84m
w1 = 12 m
w2 = 7 m
2.) for w = 12 m we have l = 19 - 12 = 7 m
for w = 7 m we have l = 19 - 7 = 12 m and 12>7 we conclude:
the length is 12 meters and the width is 7 meters.