Question

The height of a parallelogram whose are is 35 sq cm and altitude 7cm

Answer 1

Given : Area and base of a parallelogram are 35cm² and 7cm respectively.

To Find : Height of the parallelogram.

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Here

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• Area of the parallelogram = 35cm²
• Base of the parallelogram = 7cm

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❍ As we know that

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$\star \: \underline{\boxed{\sf\purple{Area_{(parallelogram)} = b \times h}}}$

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Where, b denotes base of the parallelogram and h denotes height of the parallelogram.

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Now, put the values in the formula and solve.

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$\sf:\implies \: Area_{(parallelogram)} \: = b \times h \\ \\ \\ \sf:\implies \: Area_{(parallelogram)} \: = 7 \times h \\ \\ \\ \sf:\implies \: 35 = 7 \times h \\ \\ \\ \sf:\implies \: h = \cancel\frac{35}{7} \\ \\ \\\sf:\implies \: \underline{\boxed{\mathfrak\purple{h = 5cm}}} \: \bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: height \: of \: parallelogram \: is \: \bold{5\: cm}.}} \:$