PROBLEMS ON DIAGONAL OF RECTANGLE WORKSHEET

Problem 1 :

The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.

Solution

Problem 2 :

The aspect ratio of the rectangle and its diagonal is 9 : 12 : 15. Calculate the area of the rectangle if the length of the diagonal is 105 cm.

Solution

Problem 3 :

There is a rectangle with the length of 12 cm and diagonal 8 cm longer than the width. Calculate the area of the rectangle.

Solution

Problem 4 :

The length of the sides of the rectangular garden are in the ratio 1 : 2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter of the rectangle.

Solution

Problem 5 :

The dimension of the rectangular plot are (x + 1) m and (2x - y)m. The sum of x and y is 3 m and the perimeter of the plots is 36 m. Find the area of the diagonal of the plot.

Solution

Problem 6 :

The diagonal of the rectangle given below is 36 m. Find the values of x and y.

Solution

Problem 7 :

If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle.

Solution

Problem 8 :

One side of the rectangular field is 15 m and one of its diagonal is 17 m. Find the area of the field.

Solution

Problem 9 :

Find the area of square, one of whose diagonals is 3.8 m long.

Solution

Problem 10 :

Find the area of a rhombus one side of which measures 20 cm and one diagonal 24 cm.

Solution

Problem 11 :

One diagonal of a parallelogram is 70 cm and the perpendicular distance of this diagonal from either of the outlying vertices is 27 cm. The area of the parallelogram is.

Solution

Answer Key

1) width = 71.58

2)  5292 cm2

3)  480 cm2

4)  24√5

5)  48 square meter.

6)  x = 5 and y = 2

7)  120 cm2

8)   120 m2

9)  7.22 m2

10)  384 cm2

11)  1800 cm2

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