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a parallelogram has an area of 153
cm and height of 17 cm what is the length of the base​

Sagot :

Answer:

9 cm

Step-by-step explanation:

Formula :

Area (parallelogram) = Base × Height

=========================================================

Given :

⇒ Area = 153 cm²

⇒ Height = 17 cm

===========================================================

Solving :

⇒ 153 cm² = 17 cm × Base

⇒ Base = 153/17

⇒ Base = 9 cm

Itz5151

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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