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Sagot :
Answer:
9 cm
Step-by-step explanation:
Formula :
Area (parallelogram) = Base × Height
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Given :
⇒ Area = 153 cm²
⇒ Height = 17 cm
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Solving :
⇒ 153 cm² = 17 cm × Base
⇒ Base = 153/17
⇒ Base = 9 cm
Answer:
Base = 9 cm
Step-by-step explanation:
Given dimensions:
- Area of the parallelogram: 153 cm^2 ( It should be cm^2 not cm )
- Height of the parallelogram: 17 cm
To Find:
- The base
Solution:
This question is a bit tricky.Usually,the height and the base are given. We'll use the formula of area of parallelogram , then substitute/plug the values of height and area of parallelogram, with the exception of base as it's not given.
So recall the formulae of area of parallelogram:
[tex] \rm \: Area_{(Parallelogram)} = b \cdot{h}[/tex]
- Here,b = base
- h = height
Plug/substitute the values of area of parallelogram & height:
[tex]\rm \: 153 \: cm ^2 =b \cdot17 \: cm[/tex]
We created an equation.Solve it now.
- Transpose 17 cm to the LHS:
[tex] \implies \rm \cfrac{153 \: cm^2}{17 cm} = base[/tex]
- Cancel 153/17 by 17:
[tex] \implies \rm9 \; cm = \: base[/tex]
[tex] \implies \rm \: Base = 9\; cm[/tex]
Yes! We're done!
Hence,the base is 9 cm of the parallelogram.
[tex] \rule{225pt}{2pt}[/tex]
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