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True [87]
3 years ago
12

Find the height of a parallelogram with base 9.44 meters and area 70.8 square meters.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

7.5 metres

Step-by-step explanation:

The formula for the area of a parallelogram is Area = base x height.

In the problem, you are given the base, which is 9.44 metres, and the area, which is 70.8 square metres.

When you plug everything into our area formula, you should get:

70.8 = 9.44 x height

To solve for height, you would divide both sides by 9.44.

70.8 ÷ 9.44 = height

7.5 = height

Don't forget your units, which is <u>metres</u>!

height = 7.5 metres

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the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of
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Here,
let width(b)be x then,
length (l)=9cm+x
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now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
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or,7=x
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Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
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