V K Raman and S N Sharma Solutions for Exercise 2: EXERCISE 20(B)

The breadth of a rectangle is lesser than the length by 3 cm. If the area is 340 cm2, find the perimeter.

Each student of a class gave the same amount for an earthquake relief fund. A total sumof Rs 800 was collected. Had there been 8 students less in the class, each student should have contributed Rs 5 more to collect the same total sum of Rs 800. Find the number of students in the class.

The length of the hypotenuse of a right-angle triangle is $26 \mathrm{cm}$. The difference between the other two sides is $14 \mathrm{cm}$. Find the perimeter.

The length of the hypotenuse of a right angled triangle is $30 \mathrm{cm}$. The sum of the other two sides is $42 \mathrm{cm}$. Find the length of the other two sides.

Sashi sold $\left(x+5\right)$ apples and made a profit of $₹x$ on each apple. If the total profit was$₹36$. Find the number of apples sold.

Sundara covered a distance of $60 \mathrm{km}$ by scooter. On her return, she increased her speed by $5 \mathrm{km}/\mathrm{h}$ and saved $1$ hour time in the return journey. Find her original speed for the onward journey.

When a number was subtracted from its square, the result was $132$, find the number.

The perimeter and area of a rectangle are $38 \mathrm{cm}$ and $84 {\mathrm{cm}}^2$ respectively. Taking the length as $x$ cm, find the breadth. Frame an equation for area. Solve the quadratic equation to find the length and breadth