The area of a parallelogram and a square are the same. If the perimeter of the square is $100 \mathrm{m}$ and the height of the parallelogram is $15 \mathrm{m},$ find the length of the corresponding base of the parallelogram.

The area of a rhombus is $56 {\mathrm{m}}^2.$ If its perimeter is $28 \mathrm{m},$ find its altitude.

$AX$ and $CY$ are heights of the parallelogram $ABCD$ whose area is $11\frac{1}{4} {\mathrm{cm}}^2.$ What are the lengths of $XA$ and $CY?$

In a parallelogram, $ABCD,$ if $BC=14 \mathrm{cm},$ $CF=9 \mathrm{cm}$, $BG=21 \mathrm{cm}$ find $AB$.

The ratio of two adjacent sides of a parallelogram is $2:3$. Its perimeter is $50 \mathrm{cm}$. The altitude corresponding to larger side is $10 \mathrm{cm}$. If the area of the parallelogram is $x {\mathrm{cm}}^2$, find the value of $x$.

A field in the form of a parallelogram has base $15 \mathrm{dam}$ and altitude $8 \mathrm{dam}$. The cost of watering the field at $10 \mathrm{paise}$ per $\mathrm{square} \mathrm{metre}$ is

The area of a parallelogram is $72 {\mathrm{cm}}^2$ and its altitude is twice the corresponding base. The length of the base is

Copy and complete the table for a triangle.

Find the area, in $\mathrm{square} \mathrm{metres}$, of the triangle whose base and altitude are as under.

Base$=10.5 \mathrm{cm}$, altitude$=6 \mathrm{cm}$

If the answer is k ${\text{m}}^2$ , then write the value of k.