## Area

Quantitative aptitude questions are asked in many competitive exams and placement exam. Area is a category in Quantitative Aptitude. Quantitative aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT), MAT, GMAT, IBPS Exam, CSAT, CLAT, Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense Competitive Exams, L.I.C/ G. I.C Competitive Exams, Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test (IT Companies) and etc., Government Exams etc.

We have a large database of “Area” Problems answered with explanation. These will help students who are preparing for all types of competitive examinations

A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?

 A) 140 B) 150 C) 160 D) 170

Explanation:

we have 2(l/2 +b) = 34 or l+2b = 34...........(1)
when folded along the length, we have 2(l+b/2)=38 or 2l+b =38.....(2)
from 1 &2 we get l=14 and b=10
Area of the paper = 14*10 = 140 sq cm

Subject: Area - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

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A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per m2 is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.

 A) b=6;l=18;H=6 B) b=5;l=6;H=18 C) l=6;b=18;H=15 D) l=5;b=18;H=18

Explanation:

Let breadth = x metres, length = 3x metres, height = H metres.

Area of the floor=(Total cost of carpeting)/(Rate) = (270/5)$\inline m^{2}$= 54$\inline m^{2}$

$\inline x\times \frac{3x}{2}=54\; \; \Rightarrow x^{2}=\frac{54\times 2}\; \; \Rightarrow x=6$

So, breadth = 6 m and length =$\inline \frac{3(6)}{2}$ = 9 m.

Now, papered area = (1720/10) $\inline m^{2}$=  172$\inline m^{2}$

Area of 1 door and 2 windows = 8$\inline m^{2}$

Total area of 4 walls = (172 + 8) $\inline m^{2}$ = 180 $\inline m^{2}$

$\inline 2\times (9+6)H=180\; \; \Rightarrow H=6m$

Subject: Area - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

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The length of a rectangualr hll is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is

 A) 20 B) 25 C) 30 D) 35

Explanation:

length= (x+5)m

x(x+5) = 750

Subject: Area - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

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An error 2% in excess is made while measuring the side of a square. The percentage of
error in the calculated area of the square is:

 A) 1.04 B) 2.04 C) 3.04 D) 4.04

Explanation:

100 cm is read as 102 cm.

A1 = $\inline (100\times 100)cm^{2}$and       A2= $\inline (102\times 102)cm^{2}$

(A2 - A1) = $\inline [102^{2}-100^{2}]$

= (102 + 100) x (102 - 100) = $\inline 404cm^{2}$.

Subject: Area - Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

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A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?

 A) 50 B) 60 C) 70 D) 80

Explanation:

length of the diagonal = 52*(15/60) =13m

sum of length and breadth = 68*(15/60) = 17m

$\inline&space;{\color{Black}\sqrt{l^{2}+b^{2}}=13&space;\;&space;or\;&space;l+b=17&space;}$

area =lb = 1/2[(2lb)] = 1/2[(l+b)² - (l²+b²)] = 1/2[17² -169]
=1/2*120 = 60 sq meter