Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Mensuration, Exercise 5: ASSIGNMENT 12.3

In the adjoining figure, the area of the cross roads is 

The area of a rectangular field is as much as the area of a square whose side is $5.4 \mathrm{~m}$. If the longer side of the rectangular field is $9.0 \mathrm{~m}$, find the breadth of the rectangular field.

The area of a triangle is $50 {\mathrm{cm}}^2$. If the altitude is of $8 \mathrm{cm}$, what is the length of its base?

A field in the form of a parallelogram has one diagonal of $42 \mathrm{~m}$ long and the perpendicular distance of this diagonal from either of the outlying vertices is $10 \mathrm{~m}$ as shown in the figure. Find the area of the field.

 How many tiles of measure $10 \mathrm{cm}\times 10 \mathrm{cm}$ are required to cover a surface of $4 \mathrm{m}\times 2.5 \mathrm{m}$ ?

 A rectangular field is of $25 \mathrm{m}$ long and $21 \mathrm{m}$ wide. A $2.5 \mathrm{m}$ wide strip is levelled all around it at the rate of $₹ 5$ per square metre. Find the cost of levelling the strip.
 

Two cross roads each 2 metre, run at right angles through the centre of a rectangular park 72 m by 48 m, such that each is parallel to one of the sides of the rectangle. Find the area of the remaining portion of the park?

A race track is in the form of a ring whose inner circumference is of $396 \mathrm{m}$ and outer circumference is of $440 \mathrm{m}$. Find the width and area of the track.