1.

The sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq.m. Find the perimeter of rectangle.

2.

A rectangle measures 8 Cm on length and its diagonal measures 17 Cm. What is the perimeter of the rectangle?

3.

A rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:

4.

The ratio of the areas of two squares, one having double its diagonal then the other is:

5.

A rectangular mat has an area of 120 sq.metres and perimeter of 46 m. The length of its diagonal is:

6.

The length of a room is 6 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.

7.

The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?

8.

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, find out the area of the parking space in square feet? a

9.

A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

10.

A large field of 900 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?

**Answer: Option 'C'**

**Let the areas of the parts be x hectares and (900 - x) hectares.
Difference of the areas of the two parts = x - (900 - x) = 2x - 900
one-fifth of the average of the two areas = 1/5[x+(900−x)]/2
= 1/5 × (900/2) = 450/5 = 90
Given that difference of the areas of the two parts = one-fifth of the average of the two areas
=> 2x - 900 = 90
=> 2x = 990
⇒ x = 990/2 = 495
Hence, area of smaller part = (900 - x) = (900 – 495) = 405 hectares.**

11.

Of the two square fields, the area of the one is 1 hectare, while anothe one is broader by 1%. There differences in area is:

12.

Find the cost of carpenting a room 13 m long and 9 m broad with a carpet 100 Cm broad at the rate of Rs.20 per meter.

13.

A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:

14.

The inner circumference of a circle race track 18 m wide is 880 m. Find the radius of the outer circle.

15.

The perimeter of a square circumscribed about a ciecle of radius r is:

16.

The area of a square field is 4802 m2 the length of its diagonal is:

17.

The diagonal of a rhombus are 65 m and 60 m. Its area is:

18.

The diagonal of a square is 40 m. The area of the square is:

19.

The area of the largest triangle that can be inscribed in a semicircle pf rasius r Cm, is:

20.

Find the area of the sector whose are is making an angle of 90° at the center of a circle of radius 3.2 Cm.

21.

If the radius of a circle decreased by 50% its area is decreased by:

22.

A rectangular room 14 m long, 12 m broad is surrounded by a varandah, 3 m wide. Find the area of the varandah?

23.

The area of the largest circle that can be drawn inside a square of side 28 Cm in length is:

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