J P Mohindru and Bharat Mohindru Solutions for Chapter: Quadratic Equations, Exercise 11: EXERCISE

The diagonal of a rectangular field is $60 \mathrm{m}$ more than the shorter side. If the longer side is $30 \mathrm{m}$ more than the shorter side. Find the sides of the field.

The perimeter of a rectangular field is $82 \mathrm{m}$ and its area is $400 \mathrm{sq}. \mathrm{m}$. Find the breadth of the rectangle.

Note: The question given in the textbook seems to be wrong. The correct question should be as below:

The perimeter of a rectangular field is $82 \mathrm{m}$ and its area is $400 \mathrm{sq}. \mathrm{m}$. Find the dimensions of the rectangular field.

The length of a hall is $5 \mathrm{m}$ more than its breadth. If the area of the floor of the hall is $84 \mathrm{sq}. \mathrm{m}$, find the length and breadth of the hall.

Is it possible to design a rectangular park of perimeter $80 \mathrm{m}$ and area $400 {\mathrm{m}}^2$? If so, find its length and breadth.

The area of a right-angled triangle is $600 {\mathrm{cm}}^2$. If the base of the triangle exceeds the altitude by $10 \mathrm{cm}$, find the dimensions of the triangle.

A farmer prepares rectangular garden of area $180 {\mathrm{m}}^2$. With $39 \mathrm{metres}$ of barbed wire, he can fence the three sides of the garden, leaving one of the longer sides unfenced. Find the dimensions of the garden.

A chess board contains $64$ equal squares and the area of each square is $6.25 {\mathrm{cm}}^2$. A border round the board is $2 \mathrm{cm}$ width. If the length of the side of the chess board is $k \mathrm{cm}$, then find the value of $k$.

The area of a rectangular plot is $528 {\mathrm{m}}^2$. The length of the plot (in metres) is one metre more than twice its breadth. Find the length and breadth of the plot.