# Mensuration Quiz 11

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# Mensuration Quiz 11

### Introduction

Mensuration is one of important topic in Quantitative Aptitude Section. In Mensuration Quiz 11 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Mensuration Quiz 11 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

### Q1

The area of a rectangular field is 3375 ${m}^{2}$ and its length and breadth are in the ratio 5:3. Find the breadth ?
A. 125m B. 45m C. 225m D. 65m

B
5x × 3x = 3375
15${x}^{2}$ = 3375
${x}^{2}$ = $\frac {3375}{15}$ = 225
x = 15
3x = 3 × 15 = 45m

### Q2

The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of a square is 48cms and the length of the rectangle is 7cm. Find the breadth of the rectangle?
A. 5cm B. 4cm C. 9cm D. 6cm

A
P of Square = 4a = 48
A = $\frac{48}{4}$ = 12cm
P of rectangle = $\frac{48}{2}$ = 24cm = 2(l + b)
2(7 + b) = 24
B = 12 - 7 = 5cm

### Q3

The area of a square is 7sqm less than half of the area of a rectangle. The length of the rectangle is 14m and breadth is 6m less than its length. What is the perimeter of the square ?
A. 42cm B. 32cm C. 22cm D. 28cm

D
L = 14, b = 8
L × b = 14 × 8 = 112
Area of square = ($\frac{112}{2}$) – 7 = 56 - 7 = 49
A = 7
Perimeter = 4a = 4 × 7 = 28cm

### Q4

A cow is tethered to a peg with 7m long rope at the corner of a 35m long and 20m wide rectangular grass field, What area of the field will the cow graze ?
A. 38.47 ${m}^{2}$ B. 35.64 ${m}^{2}$ C. 43.65 ${m}^{2}$ D. 40 ${m}^{2}$

A
A = $\frac{1}{4}(3.14 {r}^{2}) = \frac {3.14 \times 7 \times 7}{4} = 38.47 {m}^{2}$

### Q5

The length of a rectangular floor is twice its breadth. If Rs.624 is required to paint the floor at the rate of Rs.8 per sqm. What is the breadth of the floor ?
A. 6.24m B. 5.10m C. 7.8m D. 4.6m

A
Area = $\frac{624}{8}$ = 78 ${m}^{2}$
2x × x = 78
2${x}^{2}$ = 78
${x}^{2} = \frac {78}{2}$ = 39
x = 6.24 m

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