Jitender Gupta and Divya Malik Solutions for Exercise 3: CHAPTER EXERCISE

In the given figure, $XY\parallel BC$. Find the length of $YC$ in $\mathrm{cm}$.

In the given figure, $XY\parallel QR$, $\frac{PQ}{XQ}=\frac{7}{3}$ and $PR=6.3 \mathrm{cm}$. Find the value of $YR$ in $\mathrm{cm}$.

$ABCD$ is a trapezium in which $AB\parallel CD$. $P$ and $Q$ are points on sides $AD$ and $BC$ respectively such that $PQ\parallel AB$. If $PD=18 \mathrm{cm}, QC=15 \mathrm{cm}$ and $BQ=35 \mathrm{cm}$, find the value of $AD$ in $\mathrm{cm}$.

In $∆ABC$ shown below, $DE\parallel BC$. If $BC=8 \mathrm{cm}$, $DE=6 \mathrm{cm}$ and area of $∆ADE=45 {\mathrm{cm}}^2$, what is the area of $∆ABC$ (in ${\mathrm{cm}}^2$)?

The model of a building is constructed with scale factor $1:30$. If the height of the model is $80 \mathrm{cm}$, then find the actual height of the building in meters.

In the given figure, $PB$ and $QA$ are perpendiculars to the line segment $AB$. If $PO=6 \mathrm{cm}, QO=9 \mathrm{cm}$ and the area of $△POB=120 {\mathrm{cm}}^2$, then find the area of $△AOQ$ in ${\mathrm{cm}}^2$.

In the given figure, $\mathrm{BC}$ is parallel to $\mathrm{DE}$, area of $△\mathrm{ABC}=25 {\mathrm{cm}}^2$, area of trapezium $\mathrm{BCED}=24 {\mathrm{cm}}^2$ and $\mathrm{DE}=14 \mathrm{cm}$. The length of $\mathrm{BC}=$_____$\mathrm{cm}$.

In a size transformation, the area of the image of an object of area $6 {\mathrm{m}}^2$ is $37.5 {\mathrm{cm}}^2$. Calculate the scale factor.