Tag: perimeter and area of rectilinear figures

Questions Related to perimeter and area of rectilinear figures

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 $ft^2$

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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$^2$

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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.

A square field is 40m long. The perimeter of the square field is (in cm)

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $14000 \, cm$

  2. $16000 \, cm$

  3. $12000 \, cm$

  4. $8000 \, cm$

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Correct Option: B

By converting the $0.0287m^2$ into the $cm^2$, the answer will be

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $28.7 \, cm^2$

  2. $2870 \, cm^2$

  3. $287 \, cm^2$

  4. None of these

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Correct Option: C

$10^{-5} \, m^2=? \, hectare$

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $1$

  2. $10$

  3. $10^{-2}$

  4. $10^{-1}$

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Correct Option: A

If $1 \, m^2$ of a certain plot in a certain area costs Rs. $1500,$ how much does $1$ hectare cost?

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $15 \times 10^5$

  2. $15 \times 10^6$

  3. $15 \times 10^7$

  4. $15 \times 10^4$

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Correct Option: B

By converting the 80.2km into the hectare, the answer will be

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. 0.08020ha

  2. 8020ha

  3. 802ha

  4. 0.802ha

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Correct Option: B

$500.2867 m^2= \, ? hectare$

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $5002.867$

  2. $5002867$

  3. $500.2867$

  4. $0.05002867$

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Correct Option: D

$10^{-10} \, cm^2=? \, hectare$

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $10^{-28}$

  2. $10^{-8}$

  3. $10^{-18}$

  4. $10^{18}$

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Correct Option: C

By converting the $4.8mm^{2}$ into the $m^2,$ the answer will be

maths perimeter and area of rectilinear figures unit of area units of area units of area and volume converting between units of areas the metric system metric system

  1. $4.8 \times 10^{-7} m^2$

  2. $4.8 \times 10^{-6} m^2$

  3. $4.8 \times 10^{-8} m^2 $

  4. $4.8 \times 10^{-5}m^2$

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Correct Option: B