Felicia has a garden in the shape of a parallelogram as shown. What is the area of her garden? 72 ft² 75 ft² 92 ft² 96 ft² Paral
lelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B. A E is 3 feet. DC is 9 feet. A dotted segment D E runs from point D to the opposite side A B and is perpendicular to side A B. D E is 8 feet.
1 answer:
Answer:
72 ft²
Step-by-step explanation:
Given :
Parallelogram ABCD with side AD parallel to side BC and side AB is parallel to side DC.
Point E is on side AB. AE is 3 feet. DC is 9 feet.
A dotted segment DE runs from point D to the opposite side AB and is perpendicular to side AB.
DE is 8 feet.
To Find: Area of parallelogram
Solution :
Refer the attached figure .
Since opposite sides of parallelogram is equal .
So DC=AB=9 feet
Area of parallelogram = base * height
= AB*DE
=9*8 = 72 ft²
Thus the area of garden in the shape of parallelogram is 72 ft²
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➷ 2) The integral of a constant follows this rule:
adx = ax
In this case, it is 1dx = 1x
This can be simplified to just x
Add a constant to this, to get the final answer of:
x + C
3) The integrals power rule is:
Substitute the values in:
This can be simplified to:
Add a constant to this to get the final answer of:
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Step-by-step explanation:
a) The volume of the prism is
b) If the dimensions L of the prism are tripled, the new volume will be
so it will increase by a factor of 27.