SOLVING WORD PROBLEMS WITH DIAGONALS OF 2D SHAPES WORKSHEET

Problem 1 :

Find the diagonal of a square whose perimeter is 60 cm.

Solution

Problem 2 :

Perimeter of a rhombus is 146 cm and the length of one of its diagonals is 48 cm. Find the length of its other diagonal.

Solution

Problem 3 :

If diagonal of one square is double the diagonal of another square, then find the ratio of their areas.

Solution

Problem 4 :

If diagonal of a rectangle is thrice its smaller side, then find the ratio of its length and width.

Solution

Problem 5 :

A rectangular carpet has area 120 square meters and perimeter 46 meters. The length of its diagonal is ____

Solution

Problem 6 :

If length of diagonal of a square is 20 cm, then its perimeter is _______

Solution

Problem 7 :

A square dinner napkin 8 in. on each side is folded along its diagonal. Find the area of the folder napkin.

Solution

Problem 8 :

What is the area of the rhombus ABCD, if AC = 6 cm, and BE = 4 cm?

problems-with-diagonalq5.png

Solution

Answer Key

1)  the length of diagonal of the square is 15√2.

2)  the length of the other diagonal is 55 cm.

3)  the required ratio is 1 : 4

4)  l : w = 2√2 : 1

5)  the length of the diagonal is 17 cm.

6)  40√2 cm

7)  Area of square = 32 square cm.

8) 24 cm2

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