# 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.

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.

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.

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.

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.

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.

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.

Problem 9 :

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

Problem 10 :

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

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

 1) width = 71.582)  5292 cm23)  480 cm24)  24√55)  48 square meter.6)  x = 5 and y = 2 7)  120 cm28)   120 m29)  7.22 m210)  384 cm211)  1800 cm2

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