Question

2. The perimeter of a rectangle is 230 cm. If the length of the rectangle is 70 cm, find its breadth
and area.
3. The area of a rectangle is 96 cm2. If the breadth of the rectangle is 8 cm, find its length and
perimeter.
4. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover
a rectangular region whose length and breadth are 520 cm and 140 cm?

Answer 1

$\sf\large\underline\orange{Question-(2):-}$

$\sf\large\underline\purple{Given:-}$

$\sf{\implies Rectangle\:_{(perimeter)}=230cm}$

$\sf{\implies Rectangle\:_{(length)}=70cm}$

$\sf\large\underline\purple{To\: Find:-}$

$\sf{\implies Rectangle\:_{(breadth\:and\:area)}=?}$

$\sf\large\underline\purple{Solution:-}$

• To calculate the area and breadth of rectangle at first we have to calculate the breadth of rectangle then it's area by applying formula:]

$\sf{\implies Rectangle\:_{(perimeter)}=2(length+breadth)}$

$\tt{\implies 2(70+breadth)=230}$

$\tt{\implies 140+2*breadth=230}$

$\tt{\implies 2*breadth=230-140}$

$\tt{\implies 2*breadth=90}$

$\tt{\implies breadth=45cm}$

• Now calculate the area of rectangle:}

$\sf{\implies Rectangle\:_{(area)}=length*breadth}$

$\sf{\implies Rectangle\:_{(area)}=70*45}$

$\sf{\implies Rectangle\:_{(area)}=3150cm^2}$

$\sf\large{Hence,}$

$\sf{\implies Rectangle\:_{(area)}=3150cm^2}$

$\sf{\implies Rectangle\:_{(breadth)}=45cm}$

$\sf\large\underline\orange{Question-(3):-}$

$\sf\large\underline\purple{Given:-}$

$\sf{\implies Rectangle\:_{(area)}=96cm^2}$

$\sf{\implies Rectangle\:_{(breadth)}=12cm}$

$\sf\large\underline\purple{To\: Find:-}$

$\sf{\implies Rectangle\:_{(length\:and\: perimeter)}=?}$

$\sf\large\underline\purple{Solution:-}$

• To calculate the perimeter and length of rectangle at first we have to calculate length then calculate the area of rectangle by applying formula:-]

$\sf{\implies Rectangle\:_{(length)}=\dfrac{Area}{breadth}}$

$\sf{\implies Rectangle\:_{(length)}=\dfrac{96}{8}}$

$\sf{\implies Rectangle\:_{(length)}=12cm}$

• Now calculate perimeter of rectangle:-]

$\sf{\implies Rectangle\:_{(Perimeter)}=2(length+breadth)}$

$\sf{\implies Rectangle\:_{(Perimeter)}=2(12+8)}$

$\sf{\implies Rectangle\:_{(Perimeter)}=2*20}$

$\sf{\implies Rectangle\:_{(Perimeter)}=40cm}$

$\sf\large{Hence,}$

$\sf{\implies Rectangle\:_{(perimeter)}=40cm}$

$\sf{\implies Rectangle\:_{(length)}=12cm}$

$\sf\large\underline\orange{Question-(4):-}$

$\sf\large\underline\purple{Given:-}$

$\sf{\implies Length\:_{(tiles)}=13cm}$

$\sf{\implies Breadth\:_{(tiles)}=7cm}$

$\sf{\implies Length\:_{(rectangle)}=520cm}$

$\sf{\implies Breadth\:_{(rectangle)}=140cm}$

$\sf\large\underline\purple{To\:Find:-}$

• Number of required tiles to cover rectangle:-]

$\sf\large\underline\purple{Solution:-}$

• To calculate the number of tiles at first we have to find out the area of rectangle and area of tiles then divide eachother:-]

$\sf{\implies Rectangle\:_{(area)}=length*breadth}$

$\sf{\implies Rectangle\:_{(area)}=520*140}$

$\sf{\implies Rectangle\:_{(area)}=72800cm^2}$

• Now calculate area of tiles:-]

$\sf{\implies Tile\:_{(area)}=Length*breadth}$

$\sf{\implies Tile\:_{(area)}=13*7}$

$\sf{\implies Tile\:_{(area)}=91cm^2}$

• Now calculate number of tiles:-]

$\tt{\implies Number\:_{(tiles)}=\dfrac{area\:_{(rectangle)}}{area\:_{(tile)}}}$

$\tt{\implies Number\:_{(tiles)}=\dfrac{72800}{91}}$

$\tt{\implies Number\:_{(tiles)}=800}$

$\sf\large{Hence,}$

$\tt{\implies Number\:_{(tiles)}=800}$

Answer 2

this ans is of 2. check it your ans