Question

Find the height of parallelogram whose area is 54DM² and base is 12 DM

Answer 1

✬ Height = 4.5 Dm ✬

Step-by-step explanation:

Given:

• Area of parallelogram is 54 DM².
• Measure of base of parallelogram is 12 DM.

To Find:

• What is the meaure of height of parallelogram ?

Solution: Let the height of parallelogram be h dm.

As we know that

★ Area of Parallelogram = Base $\times$ Height) ★

A/q

• Area is 54 dm².

$\implies{\rm }$ 54 = Base $\times$ Height

$\implies{\rm }$ 54 = 12 $\times$ h

$\implies{\rm }$ 54 = 12h

$\implies{\rm }$ 54/12 = h

$\implies{\rm }$ 4.5 dm = h

Hence, the meaure of height of parallelogram is 4.5 DM.

_____________________

★ Verification ★

➟ 54 = Base $\times$ Height

➟ 54 = 12 $\times$ 4.5

➟ 54 = 54

$\large\boxed{\texttt{Verified}}$

Answer 2

Given ,

Area of parallelogram = 54 dm²

Base of parallelogram = 12 dm

We know that , the area of parallelogram is given by

$\large \sf \fbox{Area \: of \: parallelogram = </p><p> base \times height }$

Thus ,

$\sf \mapsto 54 = 12 \times height \\ \\ \sf \mapsto height = \frac{54}{12} \\ \\ \sf \mapsto height = 4.5 \: \: dm$

$\sf \therefore \underline{The \: height \: of \: parallelogram \: is \: 4.5 \: dm \: }$