If you were tasked by your parents to make a mini garden in your lot and they are requesting to see plants in one big rectangle. How are you going to find the length and the width of the rectangle if the area of a rectangle is 144.4m2 and the length is 14m longer than the width?
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Answer:
length = about 20.91m
width = about 6.91m
Step-by-step explanation:
Given:
Area = 144.4m²
width = x
length is 14m longer than the width = x+14
Solution:
Area = length×width
144.4m² = (x+14)x
x²+14x = 144.4m²
x²+14x = 144.4m²
x²+14x+49 = 144.4+49
(x+7)² = 193.4
√(x+7)² = √193.4
x+7 = √193.4
x = √193.4 -7
width = x meters
width = √193.4 -7 meters
width = about 6.91 meters
length = x+14 meters
length = √193.4 -7+14 meters
length = √193.4 +7 meters
length = about 20.91 meters
For checking, see the picture above :)