REVIEW EXERCISES

Area of an equilateral triangle$=$____________$(\mathrm{side}{)}^2$.

If only the length of a rectangular plot is reduced to $\frac{2}{3}\mathrm{rd}$ of its original length, find the ratio of the orginal area to the reduced area.

A square room is surrounded by a verandah of width$2 \mathrm{m}$. The area of the verandah is $64 {\mathrm{m}}^{2 }$. Find the area of the room.

A rhombus of area $24 \mathrm{sq}. \mathrm{cm}$ has one its diagonal of $6 \mathrm{cm}$. Find the other diagonal and the side of the rhombus.

A path all around the inside of a rectangular park $37 \mathrm{m}$ by $30 \mathrm{m}$ occupies an area of $570 {\mathrm{m}}^2$. Find the width of the path.

The area of a rectangular plot is $14$ times its breadth. If the difference between the length and breadth is $9 \mathrm{m},$ what is its breadth?

In the given figure, find the area of each section if the width of each section is same.

Find the are of the hexagon $\mathrm{TAGORE},$ if $\mathrm{TO}=9 \mathrm{cm}, \mathrm{TS}=7 \mathrm{cm}, \mathrm{TH}=6 \mathrm{cm}, \mathrm{TF}=4 \mathrm{cm}, \mathrm{TB}=2 \mathrm{cm}, \mathrm{AB}=3 \mathrm{cm}, \mathrm{GH}=5 \mathrm{cm}, \mathrm{SR}=2 \mathrm{cm}$ and $\mathrm{EF}=4 \mathrm{cm}$