Question

Mahesh has a toy which has the shape of a trapezium. The two sides which are parallel have a length of 60 cm and 77 cm and the other sides are 25 cm and 26 cm. He requests you to calculate the areaand you help him to arrive at the correct answer which is sq.cm. [Note:- DO NOT include spaces in your answer)

Answer 1

Correct Answer: 1644

Step 1: Spot the right triangle pattern.
The base split is 17 cm (the difference of the parallel sides). Checking the two legs, 25 and 24 form a 7-24-25 triple, and 26 and 24 form a 10-24-26 triple, and \( 7 + 10 = 17 \) matches the split exactly.

Step 2: Take the height as 24 cm.
Both triples confirm the common height is \( h = 24 \) cm.

Step 3: Apply the trapezium area formula.
Area \( = \frac{1}{2} \times (60 + 77) \times 24 = \frac{1}{2} \times 137 \times 24 = 1644 \) sq cm. \[ \boxed{1644} \]