$(a)$. $SR = 12\ cm$ and $QM = 7.6\ cm$Area of parallelogram $PQRS = Base\times Height$$= SR\times QM$$= 12\ cm\times 7.6\ cm$$= 91.2 cm^2$$(b)$. Base $= PS = 8\ cm$Area of the parallelogram $= 91.2\ cm^2$       [calculated in part $(a)$]Area of parallelogram $PQRS = Base\times Height$$91.2\ cm^2 = 8 cm\times QN$$QN = 91.2\ cm^2 / 8 cm$$QN = 11.4\ cm$

Given: The perimeter of a rectangle is $130\ cm$. The breadth of the rectangle is $30\ cm$.To do: To find the length and the area of the rectangle.Solution: As given, the perimeter of the rectangle $P=130\ cm$The breadth of the rectangle $b=30\ cm$Let "$l$" be the length of the rectangle. We know that, ... Read More

Given: A wire is in the shape of a rectangle. Its length is $40\ cm$ and breadth is $22\ cm$.To do: To find the measure of each side when the same wire is rebent in the shape of a square and also find which shape encloses more area.Solution: As given here,  length $l=40\ ... Read More

Given: The perimeter of a rectangular sheet is $100\ cm$. If the length is $35\ cm$.To do: To find its breadth and the area.Solution: As given here, the perimeter of a rectangular $S=100\ cm$Length of the rectangular sheet $l=35\ cm$Let "$b$" is the breadth of the rectangular sheet.We know that, $S=2(l+b)$$100\ ... Read More

Given: Area of a rectangular plot of land is $440\ m^2$ and length is $22\ m$. To do: To find the breadth and perimeter of the plot. Solution: As given here, length of the plot $l=22\ m$ Area of the plot $A=440\ m^2$ Let "$b$" is the breadth of the ... Read More

Given :Perimeter of a square $= 320 m$.To find :We have to find the area of the square.Solution :Perimeter of a square of side 's' is 4s.$ 4a = 320 m$      (Where a is the side length of the square)$a = \frac{320}{4} m$$a = 80 m$Now, $$Area of ... Read More

Given:Area of parallelogram $=1470\ cm^2$ $AB=35\ cm$ and $AD=49\ cm$To do:We have to find the length of $BM$.Solution:We know that, Area of parallelogram of base b and height h $=b\times h$This implies, $1470=49\times BM$$BM= \frac{1470}{49}\ cm$$BM=30\ cm$Therefore, the length of BM is 30 cm.Read More

Given: A door of length $2\ m$ and breadth $1\ m$ is fitted in a wall. The length of the wall is $4.5\ m$ and the breadth is $3.6\ m$.To do: To find the cost of white washing the wall, if the rate of white washing the wall is $Rs.\ 20\ ... Read More

To do: To draw a line, say $AB$, take a point $C$ outside it. Through $C$, draw a line parallel to $AB$ using a ruler and compasses only.Follow the steps:Draw a line, AB, and take a point C outside this line. Take any point P on AB. Join C to ... Read More

To do: To draw a line $l$. Draw a perpendicular to $l$ at any point on $l$. On this perpendicular choose a point $X$, $4\ cm$ away from $l$. Through $X$, draw a line $m$ parallel to $l$. Steps of construction:Draw a line l, take a point P on it. Draw ... Read More