Question
Easy

The lengths of the parallel sides of a trapezium are 11 cm and 25 cm and the distance between them is 12 cm. Its area is equal to the area of a rectangle whose sides are in the ratio 3 : 2. What is the perimeter (in cm) of the rectangle ?

1
40
2
50
3
60
4
70
Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: 2D Geometry
Topic: Perimeter and Area
Correct Answer
Option C
Explanation

To determine the perimeter of the rectangle, we first need to calculate the area of the trapezium and then use that to find the dimensions of the rectangle. 1. Calculate the Area of the Trapezium: The formula for the area of a trapezium is: \[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \] Here, the lengths of the parallel sides (bases) are 11 cm and 25 cm, and…Read More

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