Tamil Nadu Board Solutions for Chapter: Mensuration, Exercise 1: Exercise

The perimeter of a triangular plot is $600 \mathrm{m}$. If the area of triangular plot is $\mathrm{k} {\mathrm{m}}^2$ with sides are in the ratio $5:12:13$ then, find the value of $\mathrm{k}$.

Find the area of the unshaded region.

Find the area of a quadrilateral $\mathrm{ABCD}$ whose sides are $\mathrm{AB}=13 \mathrm{cm}, \mathrm{BC}=12 \mathrm{cm}, \mathrm{CD}=9 \mathrm{cm}, \mathrm{AD}=14 \mathrm{cm}$ and diagonal $\mathrm{BD}=15 \mathrm{cm}$.

A park is in the shape of a quadrilateral. The sides of the park are $15 \mathrm{m}, 20 \mathrm{m}, 26 \mathrm{m}$ and $17 \mathrm{m}$ and the angle between the first two sides is a right angle. Find the area of the park.

A land is in the shape of a rhombus. The perimeter of the land is $160 \mathrm{m}$ and one of the diagonal is $48 \mathrm{m}$. Find the area of the land.

The adjacent sides of a parallelogram measures $34 \mathrm{m}, 20 \mathrm{m}$ and the measure of the diagonal is $42 \mathrm{m}$. Find the area of the parallelogram.

The lengths of sides of a triangular field are $28 \mathrm{m}, 15 \mathrm{m}$ and $41 \mathrm{m}$. Calculate the area of the field. Find the cost of levelling the field at the rate of $₹ 20 \mathrm{per} {\mathrm{m}}^2$.

The length, breadth and height of a cuboid are in the ratio $7:5:2$. Its volume is $35840 {\mathrm{cm}}^3$. Find its dimensions.