The perimeter of a right triangle is 60 cm and its hypotenuse is 25 cm. Find the area of the triangle.
Question types
Perimeter and Area of Plane Figures question types
143 questions across 5 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.
143
Questions
5
Question groups
5
Question types
01
[2 Mark Question Answer]
8 Q→02[3 marks sum]
57 Q→03[4 marks sum]
25 Q→04[5 marks sum]
15 Q→05MCQ
38 Q→Sample Questions
Perimeter and Area of Plane Figures questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle.
The lengths of two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is $24 cm^2$ find the perimeter of the triangle.
View full solution →Find the area of a triangle whose base is 15 cm and the corresponding height is 9.6 cm.
The lengths of two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is $24 cm^2$, find the perimeter of the triangle.
View full solution →The perimeter of a rectangular field is $\frac{3}{5} km$ and its length is twice its breadth. Find the area of the field in $m ^2$.
View full solution →The perimeter of a rectangle is 81 m and its breadth is 12 m. Find its length and area.
In the adjoining figure, $\triangle ABC$ is right angled at $A , BC =7.5$ cm and $AB =4.5 cm$. If the area of quad. ABCD is $30 cm^2$ and DL is the altitude of $\triangle DAC$, calculate the length DL.
View full solution →Find the perimeter and area of quadrilateral ABCD in which
$\begin{array}{l}AB=9 cm, AD=12 cm, BD=15 cm \\
CD=17 cm \text { and } \angle CBD=90\end{array}$.
View full solution →$\begin{array}{l}AB=9 cm, AD=12 cm, BD=15 cm \\
CD=17 cm \text { and } \angle CBD=90\end{array}$.
The two parallel sides of a trapezium are 58 m and 42 m long. The other two sides are equal, each being 17 m. Find its area.
Calculate the area of quadrilateral ABCD in which $\triangle BCD$ is equilateral with each side equal to $26 cm, \angle BAD =90$ and $AD =24 cm$.
View full solution →Calculate the area of quadrilateral ABCD in which :
$\begin{array}{l}AB=24 cm, AD=32 cm, \angle BAD=90 \\
\text { and } BC=CD=52 cm\end{array}$.
View full solution →$\begin{array}{l}AB=24 cm, AD=32 cm, \angle BAD=90 \\
\text { and } BC=CD=52 cm\end{array}$.
Find the area of quadrilateral ABCD in which
AB = 29 cm, BC = 21 cm, AC=20 cm CD = 34 cm and DA = 42 cm.
AB = 29 cm, BC = 21 cm, AC=20 cm CD = 34 cm and DA = 42 cm.
Two adjacent sides of a parallelogram are 36 cm and 25 cm. If the distance between longer sides is 15cm, find the distance between the shorter sides.
The area of a rhombus is $216 cm ^2$ and one of its diagonals measures 24 cm. Find:
(i) the length of the other diagonal,
(ii) the length of each of its sides,
(iii) its perimeter.
View full solution →(i) the length of the other diagonal,
(ii) the length of each of its sides,
(iii) its perimeter.
The adjoining figure shows a field with the measurements given in metres. Find the area of the field.
In the given figure, ABCD is a trapezium in which $AD =13 cm, BC =5 cm, CD =17 cm$ and $\angle A =\angle B =90$.
Calculate :
(i) AB
(ii) Area of trap. ABCD .
View full solution →Calculate :
(i) AB
(ii) Area of trap. ABCD .
Find the area and perimeter of a square plot of land whose diagonal is 15 m. Give your answer correct to two decimal places.
The perimeter of a rectangular plot is 130 m and its area is $1000 m^2$. Take the length of the plot as $x$ metres. Use the perimeter to write the value of breadth in terms of $x$. Use the values of length, breadth and area to write an equation in $x$. Solve the equation and calculate the length and breadth of the plot.
View full solution →A rectangle of area $144 cm^2$ has its length equal to $x cm$. Write down its breadth in terms of $x$. Given that its perimeter is 52 cm , write down an equation in $x$ and solve it to determine the dimensions of the rectangle.
View full solution →In the given figure, ABCD is a trapezium in which $AB \| CD$. If area of $\triangle BEC$ is 12 $cm ^2$, then area of $\triangle EDC$ is :
- ✓$12 cm^2$
- B$6 cm^2$
- C$24 cm^2$
- Dnone of these
Answer: A.
View full solution →The base of an isosceles triangle is 16 cm and its area is $48 cm^2$ The perimeter of the triangle is:
- A24 cm
- B30 cm
- ✓36 cm
- D42 cm
Answer: C.
View full solution →A field is in the shape of parallelogram, whose adjacent sides are 120 m and 170 m. If its one diagonal is 250 m, then cost of ploughing the field at ₹ 20 per sq m is :
- A₹ 90,000
- B₹ 1,20,000
- C₹ 1,50,000
- ✓₹ 1,80,000
Answer: D.
View full solution →The area of a rectangle is thrice that of a square. Length of the rectangle is 40 cm and the breadth of the rectangle is $\frac{3}{2}$ times that of the side of the square. The side of the square is :
- A15 cm
- B18 cm
- ✓20 cm
- D24 cm
Answer: C.
View full solution →Assertion (A) : The area of a rhombus is $84 cm^2$. If its one diagonal is 7 cm , then side of the rhombus is 12 cm .
Reason $(R)$ : Area of a rhombus is given by $\frac{1}{2}$ product of its diagonals.
Reason $(R)$ : Area of a rhombus is given by $\frac{1}{2}$ product of its diagonals.
- AA is true, R is false
- ✓A is false, R is true
- CBoth A and R are true
- DBoth A and R are false.
Answer: B.
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