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## Geometry and Mensuration: Level 2 Test 3

Congratulations - you have completed Geometry and Mensuration: Level 2 Test 3. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
 Question 1
The length of the three sides of a right angled triangle are (x–2) cm, x cm and (x+2) cm respectively. Then the value of x is
 A 10 B 8 C 4 D 0
Question 1 Explanation:
The longest side = x+2 cm.
Thus,
(x+2)2 = x2 + (x-2)2
x2 + 4x + 4 = x2 + x2 + 4 – 4x
x2 = 8x
=> x =8
 Question 2
ABC is an isosceles triangle with AB= AC. The side BA is produced to D such that AB= AD. IfABC= 30o , then BCD  is equal to
 A 45o B 90o C 30o D 60o
Question 2 Explanation: CAD = 30 + 30 = 60
Thus ACD = (180 – 60)/2 = 600
BCD = 30 + 60 = 900
 Question 3
If the height of a triangle is decreased 20% and its base is increased by 20% what will be the effect on its area?
 A No change B 4% decrease C 12% decrease D 16% increase
Question 3 Explanation:
Let  the height be h cm and base be b cm.
The area of the triangle = ½ hb
The new height = 0.8h and base = 1.2b
The area of new triangle = 0.8 x 1.2 = 0.96 hb
 Question 4
A circular ground whose diameter is 35 metres, has a 1.4 metre broad garden around it. What is the area of the garden in square metres?
 A 160.16 B 6.16 C 1122.66 D Data inadequate
Question 4 Explanation: The area of the garden is Π(17.5 + 1.4)2 – Π17.52 = 160.01
The correct option is (a)
 Question 5
2 metres broad pathway is to be constructed around a rectangular plot. The area of the plot is 96 sq. m. The cost of construction is Rs.50 per sq. metre. Then find the total cost of production?
 A Rs.4, 800 B Rs.4, 000 C Rs.2400 D Data inadequate
Question 5 Explanation: No specific measurement of the length and breadth of rectangular plot has been mentioned.
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