Monicaa Abhijit Solutions for Chapter: Mensuration-I (Plane Figures), Exercise 1: EXERCISE 17.1

How can you place $15$ coins inside six rectangles such that there are odd numbers of coins inside each rectangle?

The length of a rectangular field is increased by $50\%$ and its breadth is decreased by $50\%$ to form a new rectangular field. Find the percentage change in the area of the field.

A rectangle is $22 \mathrm{m}$ long and $12 \mathrm{m}$ wide. From its four corners, quadrants of radius $2.5 \mathrm{m}$ have been cut. Find the area of the remaining part.

The side of a square is $8 \mathrm{cm}$. Find the length of its diagonal.

The sides of two squares are in the ratio $4:5$. Find the ratio of their areas.

How many tiles measuring $20 \mathrm{cm}\times 20 \mathrm{cm}$ each will be required to pave a $1.5 \mathrm{m}$ wide footpath around a grassy plot of $25 \mathrm{m}\times 16 \mathrm{m}$?

The sides of a quadrilateral taken in order are $5 \mathrm{m}, 12 \mathrm{m}, 14 \mathrm{m}$ and $15 \mathrm{m}$ respectively. The angle contained in the first two sides is a right angle. Find the area of the quadrilateral.

The adjacent sides of a parallelogram are $10 \mathrm{m}$ and $8 \mathrm{m}$. If the distance between the longer sides is $4 \mathrm{m},$ find the distance between the shorter sides.