## Chapter 8 Quadratic Equations R.D. Sharma Solutions for Class 10th Math Exercise 8.11

1. The perimeter of a rectangular field is 82 m and its area is 400 m^{2}. Find the breadth of the rectangle.

**Solution**

2. The length of a hail is 5 m more than its breadth. If the area of the floor of the hail is 84 m

^{2}, what are the length and breadth of the hail ?

**Solution**

3. Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 cm

^{2}. Find the sides of the squares.

**Solution**

4. The area of a right angled triangle is 165 m

^{2}. Determine its base and altitude if the latter exceeds the former by 7m.

**Solution**

5. Is it possible to design a rectangular mango grove whose length is twice its breadth and the area is 800 m

^{2}? If so, find its length and breadth.

**Solution**

6. Is it possible to design a rectangular park of perimeter 80 m and area 400 m

^{2}? If so, find its length and breadth.

**Solution**

7. Sum of the areas of two squares is 640

^{2}. If the difference of their perimeters is 64 m, find the sides of the two squares.

**Solution**

8. sum of the areas of two squares is 400 c

^{2}. If the differences of their perimeters is 16 cm, find the sides of two squares.

**Solution**

9. The area of a rectangle plot is 528 cm

^{2}. The length of the plot (in metres) is one metre more then twice its breadth . Find the length and the breadth of the plot .

**Solution**

10. In the centre of a rectangular lawn of dimensions 50 m × 40 m , a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184

^{2}. Find the length and breadth of the pond .

**Solution**