Question

The base of a parallelogram is twice. if its area is 800cm².

, find the

base and height.​

Answer 1

$\sf \: Let \: the \: height \: of \: the \: parallelogram \: be \: x \: cm. \\ \\ \sf \: Given, \: base \: is \: twice \: so \: 2 x \\ \\ \sf \: Area \:of \: a\:parallelogram\:=\:Breadth \: \times \: Height \\ \\ \bold{800 \: = \: 2x \: \times \: x} \\ \\ \sf \: 8 00 \: = \: 2 {x}^{2} \\ \\ \sf{x}^{2} \: = \: \frac{800}{2} \\ \\ \sf \: {x}^{2} \: = \: 400 \\ \\ \sf \: x \: = \: \sqrt{400} \\ \\ \sf \: x \: = \:20 \: \\ \\ \color{red} \sf \:{ \underline{Height \: = \: 20 \: cm \: and \: Base \: = \: 2 \: \times \: 20 \: = \: 40 \: cm}}$