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Given:
- PQRS is a Parallelogram
- PM is the height from P to SR
- RN is the height from R to PS.
- SR = 12cm
- PM = 8cm
To Find:-
- Area of the Parallelogram
- Measure of RN
Solution:
First, We have to find the area of Parallelogram to find the measure of RN. Lets Find out.
Area of Parallelogram = Base × Height
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = ⠀⠀ SR ⠀ × ⠀ PM
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = ⠀ 12 ⠀ × ⠀ 8
⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀ = ⠀96 cm²
Hence, Area of Parallelogram is 96 cm²
Now, We know that what is the area of Parallelogram so we can easily find the Measures of RN
So,
RN , if RS = 8cm
Base × Height = Area of Parallelogram
⠀ RS⠀×⠀RN⠀⠀⠀=⠀ 96 cm²
⠀ 8 ⠀ × ⠀RN⠀⠀⠀⠀ = ⠀⠀96 cm²
⠀⠀⠀
⠀⠀ ⠀
Hence, Measure of RN is 12cm².
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