QOTD | Quantitative Aptitude | Mensuration

Question of The Day17-10-2019

A 2 m wide pathway is developed parallel to the rectangular park’s boundary. If the breadth of the park is 15 m and the area of the park is 300 m², then what will be the area of the pathway?

Answer

Correct Answer : a ) 124 m²

Explanation :

Let us assume the length of the park will be x m.

According to the given information, the schematic of the park can be shown as

Quantitative Aptitude Mensuration

As, given breadth of park = 15 m

And, Area of park = 300 m²

Length * breadth = 300 m²

15x = 300

x = 20 m

Now,

Length of the pathway inside boundary will be ⇒ 20 – 2 – 2 = 16 m

And, breadth of the pathway inside boundary will be ⇒ 15 – 2 – 2 = 11 m

Thus,

Area of the pathway = area of park – shaded area

= 300 – (16 x 11)

= 124 m²

Hence, (A) is the correct answer.

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