Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

From the given diagram, answer the following questions.

‘AC’ is 23 cm in the adjoining figure. Consider the figure and answer the questions

The area of DGFE is

Options:

$133 cm^2$

$140 cm^2$

$70 cm^2$

$66.5 cm^2$

Correct Answer:

$66.5 cm^2$

Explanation:

Here, we have,

Trapezium (DGFE) : where two parallel sides (DG & EF) = 10cm(a) ,9cm(b) and distance b/w them (GF) = AC - CG - AF = 23 - 5 - 11 = 7cm(h)

Now,

Area of DGFE:

$\frac{1}{2}(a+b)×h=\frac{1}{2}(10+9)×7=\frac{1}{2}×19×7$

$⇒\frac{133}{2}=66.5cm^2$