The length of one side and the diagonal of a rectangle are 5cm and 13cm respectively. Find its area (in cm
2
).
- A60
- B120
- C35
- D70
Solution & Step-by-step Explanation
Let the sides of the rectangle be a=5cm and b.
The diagonal (d) of a rectangle is related to its sides by Pythagoras' theorem:
d
2
=a
2
+b
2
13
2
=5
2
+b
2
169=25+b
2
b
2
=169−25=144
b=12cm
Now, the area of the rectangle is given by:
Area=a×b=5×12=60cm
2
The diagonal (d) of a rectangle is related to its sides by Pythagoras' theorem:
d
2
=a
2
+b
2
13
2
=5
2
+b
2
169=25+b
2
b
2
=169−25=144
b=12cm
Now, the area of the rectangle is given by:
Area=a×b=5×12=60cm
2