Question

The ratio of base to height of a parallelogram is 4:3 . If the area of the parallelogram is 1452
CM^{2 ,}hen find its base and height.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{base}\mathrm{of}\mathrm{parallelogram}=4\mathrm{x}\mathrm{cm} \\ \mathrm{height}\mathrm{of}\mathrm{parallelogram}=3\mathrm{x}\mathrm{cm} \\ \mathrm{Now}\mathrm{area}=1452{\mathrm{cm}}^2 \\ \mathrm{base}\times \mathrm{height}=1452 \\ \Rightarrow 4\mathrm{x}\times 3\mathrm{x}=1452 \\ \Rightarrow 12{\mathrm{x}}^2=1452 \\ \Rightarrow {\mathrm{x}}^2=121 \\ \Rightarrow \mathrm{x}=11 \\ \mathrm{Now},\mathrm{base}=4\mathrm{x}=4\times 11=44\mathrm{m} \\ \mathrm{height}=3\mathrm{x}=3\times 11=33\mathrm{m} \end{gathered}$$