Tag: maths

Questions Related to maths

Area is the total surface covered by a closed figure is 

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. True

  2. False

  3. Anomalous

  4. None of these

Show answer
Correct Option: A
Explanation:

Yes the region covered by the enclosed figure or the total surface covered is the area of the particular shape.True.Option A

Area is measured in

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. units

  2. cubic units

  3. square units

  4. cm

Show answer
Correct Option: C
Explanation:

The measurement of area is done in square units.

Area is the length of the boundary of a closed figure.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. True

  2. False

  3. Either

  4. Neither

Show answer
Correct Option: B
Explanation:

Length of the boundary is the Perimeter not the area. The region enclosed inside the boundary is the area.
Therefore the statement is false.
Option B

Volume is measured in _____ units.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. square

  2. cubic

  3. unit

  4. cubic meter

Show answer
Correct Option: B
Explanation:

Volume is measured in cubic units.

Two pipes can fill a tank in $20$ and $24$ minutes respectively and a waste pipe can empty $3$ gallons per minute. All the three pipes working together can fill the tank in $15$ minutes. The capacity of the tank is :

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. $60\ gallons$

  2. $100\ gallons$

  3. $120\ gallons$

  4. $180\ gallons$

Show answer
Correct Option: C
Explanation:

According to given question,

 Two ppes can fill atank $=20\,and\ 24\,\min .$

A waste pipe can empty$=3\,gallon/\min .$

Three pipes working$=15\,\min .$


So, According to given question,

Work done by the waste pipe in 1 minute

$ =\dfrac{1}{15}-\left( \dfrac{1}{20}+\dfrac{1}{24} \right) $

$ =\dfrac{1}{15}-\dfrac{11}{120} $

$ =-\dfrac{1}{40} $


Note:- negative sign means emptying

Then,

Volume of $\dfrac{1}{40}\,part$ $=\,3\,gallons.$

Volume of whole$=3\times 40=120\,gallons.$


Hence, this is the answer.

______ is expressed in square units.

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. Perimeter

  2. Area

  3. Square

  4. Rectangle

Show answer
Correct Option: B
Explanation:

The area of a flat, or plane figure is the number of unit squares that can be contained within it.

So, area is expressed in square units.
Hence, the answer is area.

The amount of surface enclosed by a closed plane figure is called its _____

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. area

  2. perimeter

  3. volume

  4. none

Show answer
Correct Option: A
Explanation:

The amount of surface enclosed by a closed plane figure is called its area.

Hence, the answer is area.

The length and breadth of a room are in the ratio of 3 : 2. Its height is equal to half of its length. If the cost of carpeting the floor at Rs. 4.00 per m$^2$ is Rs. 216, then the area offour walls (in m$^2$) is

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. 135

  2. 140

  3. 125

  4. 120

Show answer
Correct Option: A
Explanation:

Let the length and breadth be 2x and 3x respectively. Then, floor area $= 6x^2$ sq.m. 
Cost of flooring at the rate of Rs. 4.00 per $m^2 = $ Rs. 216
$\therefore 6x^2 \times 4 = 216$
or $x^2 = 9$
or $x = 3$
$\therefore $ Length = 3x = 9m
Breadth = 2x = 6m
and Height $= \displaystyle \frac{1}{2} \times$ Length = 4.5 m
$\therefore $ Area of four walls = 2(length $\times$ height + breadth $\times$ height)
$=2 [9 \times 4.5 + 6 \times 4.5] = 135 m^2$

One side of a square is $4$ ft long. What is its area?

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. 6 $ft^2$

  2. 4$ft^2$

  3. 8 $ft^2$

  4. 16 $ft^2$

Show answer
Correct Option: D
Explanation:

Area of a square = $side \times  side$
one side = 4 ft
Area = $4^2$
Area = $16$ $ft^2$

The perimeter of a rhombus is 100 cm and one of the diagonals is 40 cm, Then the area of the rhombus is

maths perimeter and area of rectilinear figures region enclosed by a plane figure area of square and rectangle mensuration-i (area)

  1. 1000 cm$^2$

  2. 500 cm$^2$

  3. 1200 cm$^2$

  4. 600 cm$^2$

Show answer
Correct Option: D
Explanation:

Given that, perimeter of rhombus is $100cm$ and one diagonal $40cm$

Perimeter of rhombus=4$\times $side

So side$=25cm$

And we know that in a rhombus diagonal divides rhombus in two eauilateral triangle.

Area of one triangle:- s$=(25+25+40)/2 =45$

So area=(s$\times $(s-a)$\times $ (s-b)$\times $(s-c))^1/2

= (45$\times $(45-40)$\times $(45-25)$\times $(45-25))^1/2

$= 300cm^2$

So total area is 300$\times $2=600cm^2

 

Hence, this is the answer.