S Purkayastha Solutions for Chapter: Assessment – 2, Exercise 1: Exercise 1

Construct a quadrilateral $CART$such that $CA=4 cm, CR=5 cm, CT=6 cm$ and $\angle CAR=70°$ and $\angle CRT=80°$. 

Construct a rectangle whose one of the diagonals is $10 cm$ and one of its sides is $8 cm$. Measure the remaining sides. 

Construct a rhombus $XYZW$in which $XZ=9.6 cm, YW=7.2 cm$

Construct a trapezium $SOUR$in which $SO\parallel RU. RS=UO=4 cm, SO=8.5 cm$ and $RU=5.5 cm$. Measure $\angle S$ and $\angle U$.

A polyhedron has $6$ faces and $8$ vertices. How many edges does this polyhedron have?

How many faces are there in a prism which has $24$ edges?

A room is $8 m$ long, $5 m$ broad and $4.2 m$ high. It has two doors each$2.1 m \times 1.4 m$ and $3$ windows each $1.8 m \times 1.4 m$. How much will it cost to paint the walls of the room at the rate of $11$ per sq. m.

The area of a trapezium is$420$sq. m. The perpendicular distance between the two parallel sides is $21 m$. If the difference between the parallel sides is $18 m$, find the length of the parallel sides.