Question
Find the area and perimeter of the given figure.
Image

Answer

Image
Area of given figure
$ =$Area of rectangle $\text{ABCH}+$Area $+$Area of square $\text{DEFG}$
$=A B \times B C+(D E)^2$
$=8 \ cm \times 3 \ cm +(3 \ cm)^2$
$=24 \ cm ^2+9 \ cm ^2$
$=33 \ cm ^2$
Perimeter of given figure
$ =A B+B C+C D+D E+E F+F G+G H+H A$
$=A B+B C+(C D+E F+G H)+D E+F G+H A$
$=8+3+8+3+3+3$
$=28 \ cm .$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A shopkeeper sells three mobile phones at $Rs. 15000 , Rs. 9945$ and $Rs. 5392$ respectively. He makes a profit of $25 \%$ on the first mobile and $10 \frac{1}{2} \%$ on the second, but incurs an overall loss $8 \frac{1}{3} \%$ on the $3$ whole transactions. Find the cost price of the third mobile.
Solve the following pairs of equations$:\ y-x=0.8;\frac{13}{2(x+y)}=1$
The electricity bills of $45$ houses in a particular locality are given below. Tabulate the given data and present it as a cumulative frequency table with one of the classes being $300 - 450:784, 567, 890, 231, 150, 458, 356, 762, 386, 824, 525, 663, 724, 841, $$315, 641, 156, 715, 156, 317, 814, 547, 879, 456, 463, 664, 175, 584, 515, 487, 871, 511, 522, 454, 247, $$819, 412, 326, 445, 311, 321, 545, 344, 266, 351.$
Construct a triangle using the given data: $XY = 5.2\ cm, XZ = 6.5\ cm$ and $\angle X = 75^\circ $
$\text{ABCD}$ is a quadrilateral $P, Q, R$ and $S$ are the mid$-$points of $AB, BC, CD$ and $AD$. Prove that $\text{PQRS}$ is a parallelogram.
Image
A man buys two articles at $Rs.410.$ He sells both at the same price. On one he makes a profit of $15\%$ and on the other a loss of $10\%.$ Find the cost price of both.
In $\triangle ABC$, the medians $BE$ and $CD$ are produced to the points $P$ and $Q$ respectively such that $BE = EP$ and $CD = DQ$. Prove that: $QA$ and $P$ are collinear.
From the given figure,find:$(i) \cos x^\circ;(ii)x^\circ;(iii)\frac{1}{\tan ^2 \times^{\circ}}-\frac{1}{\sin ^2 \times^{\circ}};(iv)$ Use tan $x^o,$ to find the value of $y.$
Case Study: An aeroplane (P) leaves an airport (A) and flies towards north at 400 km/h. At the same time another aeroplane (Q) leaves the same airport and flies towards west at 300 km/h.
Image
Based on the above information, answer the following questions :
Q.1. Distance covered by aeroplane P in 1.5 hours is :
(a) 600 km (b) 650 km (c) 700 km (d) 800 km
Q.2. Distance covered by aeroplane Q in 1.5 hours is :
(a) 600 km. (b) 550 km (c) 500 km (d) 450 km
Q.3. The distance between the two aeroplanes after a certain period of time is represented by the line segment :
(a) AP (b) AQ (c) PQ (d) AS
Q.4. After 1.5 hours, which aeroplane travelled longer distance and by how much?
(a) P, 150 km (b) Q, 150 km (c) P, 600 km (d) Q, 450 km
Q.5. After 1.5 hours, the distance between the two aeroplanes is :
(a) 600 km (b) 650 km (c) 700 km (d) 750 km