Subject Experts Solutions for Chapter: Area and Perimeter, Exercise 1: Target Exercise

The radius of a circle is $75 cm$. A zone of that circle has one of its parallel chords coinciding with the diameter and the other equal to the radius. Find the area of that zone.

$A$ took $15 seconds$ to cross a rectangular field diagonally walking at a rate of $52 m/minute$ and $B$ took the same time to cross the same field along its sides walking at the rate of $68 m/minute$. Find the area of the field.

Two sides of a triangle are $85 m$ and $154 m$ and the perimeter is $324 m$. Find the area of the triangle.

The sides of a triangle are $25 m, 39 m$ and $56 m$ respectively. Find the perpendicular from the opposite angle on the greatest sides.

The length of the floor of a rectangular hall is $10 m$ more than its breadth. If $34$ carpets of size $6\times 4$ are required to cover the floor of the hall, then find the length and breadth of the hall.

The difference between two parallel sides of a trapezium is $8 \mathrm{cm}$. The perpendicular distance between them is $38 \mathrm{cm}$. If the area of the trapezium is $950 {\mathrm{cm}}^2$, then find the length of the parallel sides.

In a circle of radius $21 cm$,  an arc subtends an angle of $60°$ at the centre. Find the area of the minor and the major segment made by this arc.

There is a garden of $140 \mathrm{m}\times 120 \mathrm{m}$ and a gravel path is to be made of equal width all around it, so as to take up just one-fourth of the garden. What is the breadth of the path?