Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

AB = 80 m, BC = 60 m

DF = 50 m, GE = 50 m

HE = 100m

Area of region ACDF is:

Options:

3750 m2

3500 m2

3250 m2

3000 m2

Correct Answer:

3750 m2

Explanation:

area of ΔACE = = \(\frac{1}{2}\) × AC × EH = \(\frac{1}{2}\) × 100 × 100 = 5000 m2

area of ΔEFD = \(\frac{1}{2}\) × DF × EG = \(\frac{1}{2}\) × 50× 50 = 1250 m2

Area of region ACDF = area of ΔACE - area of ΔEFD

                              = 5000 - 1250 = 3750 m2