Rahul Sofat Solutions for Chapter: Perimeter and Area, Exercise 4: EXERCISE 14.4

Calculate the missing measurement for the following trapezium:

$\begin{array}{|cccc|}\hline \mathrm{Parallel} \mathrm{side} 1& \mathrm{Parallel} \mathrm{side} 2& \mathrm{Altitude}& \mathrm{Area}\\ & 16 \mathrm{mm}& 14 \mathrm{mm}& 154 {\mathrm{mm}}^2\\ \hline\end{array}$

Calculate the missing measurement for the following trapezium:

$\begin{array}{|cccc|}\hline \mathrm{Parallel} \mathrm{side} 1& \mathrm{Parallel} \mathrm{side} 2& \mathrm{Altitude}& \mathrm{Area}\\ 60 \mathrm{cm}& 110 \mathrm{cm}& 1.4 \mathrm{m}& \\ \hline\end{array}$

Find the value of the missing measurement for the following rhombus:

$\mathrm{diagonal} {\mathrm{d}}_1=8 \mathrm{cm}, \mathrm{diagonal} {\mathrm{d}}_2=10 \mathrm{cm}, \mathrm{area}=\mathrm{\_\_\_\_\_} {\mathrm{cm}}^2$

Find the value of the missing measurement for the following rhombus:

$\mathrm{base}=6 \mathrm{m}, \mathrm{altitude}=\mathrm{\_\_\_\_\_} \mathrm{m}, \mathrm{area}=3,00,000 {\mathrm{cm}}^2$

Find the value of the missing measurement for the following rhombus:

$\mathrm{side}=8 \mathrm{cm}, \mathrm{acute} \mathrm{angle} \mathrm{between} \mathrm{one} \mathrm{pair} \mathrm{of} \mathrm{sides}=30°, \mathrm{area}=\mathrm{\_\_\_\_\_} {\mathrm{cm}}^2$

Find the area of the quadrilateral $PQRS$ as shown in the adjoining figure:

Show how we can use Fig. (1) to find the area of Fig.(2). Also find the perimeter of each figure.

In the adjoining figures, a rectangle and a square are given. Find the area of the shaded portions.