Book: RS Aggarwal & V Aggarwal - Mathematics
Chapter: 7. Areas
Subject: Mathematics - Class 9th
Q. No. 29 of CCE Questions
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A park in the shape of a quadrilateral ABCD has AB = 9m, BC = 12m, CD = 5 cm, AD = 8 m and c= 90°. Find the area of the park. [Given: 
= 5.9]
rom the given figure, it is clear that:
BCD is a right triangle
∴ BD = 
= 
= 
= 
= 13 m
Now, area of
= 
= 
= 
= 6 × 5 = 30 m2
Let the sides of the triangle be: a = 9 m, b = 8 m and c = 13 m
∴ s = 
= 
= 
= 15 m
Thus, by using Heron’s formula we get:
Area of 
= 
= 
= 
= 
= 
= 6 × 5.9 = 35.4 m2
∴ Area of quadrilateral ABCD = Area of 
+ Area of 
= 30 + 35.4
= 65.4 m2
Chapter Exercises
More Exercise Questions
cm2. Its perimeter is –
cm2. Its height is-
a2
)a
The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
Area of an equilateral triangle having each side equal to 4cm is | Area of an equilateral triangle having each side a is |
sq cm.
a2 sq units.The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion(A) | Reason (R) |
The area of an isosceles triangle having base = 8cm and each of the equal sides = 5cm is 12cm2. | The area of an isosceles triangle having each of the equal sides as a and base =b is |
.The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion(A) | Reason (R) |
The area of an equilateral triangle having side 4cm is 3cm2 | The area of an equilateral triangle having each side a is ( |
a2) sq units.The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
The sides of the triangle ABC are in the ratio 2 : 3 : 4 and its perimeter is 36 cm. Then ar(Δ ABC) = | If 2s = (a + b +c) where a, b, c are the sides of the triangle, then its area is = |
cm2.
.The question consists of two statements namely, Assertion (a) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
The area of an isosceles triangle having base = 24 cm and each of the equal sides equal to 13cm is 60cm2. | If 2s = (a + b+ c) where a, b, c are the sides of a triangle, then area = |
.
cm2.Match the following columns.
Column I | Column II |
(a) The lengths of three sides of a triangle are 26 cm, 28 cm and 30cm. The height corresponding to base 28cm is……cm | (p) 6 |
(b) The area of an equilateral triangle is | (q) 4 |
(c) If the height of an equilateral triangle is | (r) 24 |
(d) Let the base of an isosceles triangle be 6 cm and each of the equal side be 5cm. Then, its height is ….cm | (s) 12 |
cm2. The perimeter of the triangle is…..cm
cm, then each side of the triangle measures …. CmThe correct answer is :
(a)-…….. (b)-……..
(c)-……… (d)-………
= 3.87]
=2.454]
= 2.24]
