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• This is an assessment test.
• These tests focus on geometry and mensuration and are meant to indicate your preparation level for the subject.
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## Geometry and Mensuration: Test 29

Congratulations - you have completed Geometry and Mensuration: Test 29.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
 Question 1
The area of a Î”ABC is equal to area of square of side length 6 cm. What is the length of the altitude to AB where AB = 9 cm?
 A 18 cm B 14 cm C 12 cm D 8 cm
Question 1 Explanation:
$\begin{array}{l}\frac{1}{2}altitude\times 9=36\\=>altitude=8\end{array}$
 Question 2
What is the area of an equilateral triangle having altitude equal to 2âˆš3 cm?
 A âˆš3 sq cm B 2âˆš3 sq cm C 3âˆš3 sq cm D 4âˆš3 sq cm
Question 2 Explanation:
$\begin{array}{l}Let\text{ }the\text{ }side\text{ }of\text{ }the\text{ }triangle\text{ }=\text{ }x\text{ c}m\\\frac{\sqrt{3}}{4}{{x}^{2}}=\frac{1}{2}\times 2\sqrt{3}x\\=>x=4.\\Area=4\sqrt{3}sq.cm.\end{array}$
 Question 3
A lawn 30m long and 16m wide is surrounded by a path 2 m wide. What is the area of the path?
 A 200 m2 B 280 m2 C 300 m2 D 320 m2
Question 3 Explanation:

Area of the path= (30+2x2)(16+2x2)-30x16=200m2. Correct option is (a)
 Question 4
A circle circumscribes a rectangle with side 16 cm and 12 cm. What is the area of the circle?
 A 48 Ï€ sq cm B 50 Ï€ sq cm C 100Ï€ sq cm D 200Ï€ sq cm
Question 4 Explanation:

$\begin{array}{l}The\text{ }diameter\text{ }=\sqrt{{{16}^{2}}+{{12}^{2}}}=\sqrt{400}=20cm\\The\text{ }area\text{ }of\text{ }circle\text{ }=\text{ }100\pi ~sq\text{ }cm.\\Correct\text{ }option\text{ }is\text{ }\left( c \right)\\\end{array}$
 Question 5
The lengths of two sides of a right angled triangle which contain the right angle are â€˜aâ€™ and â€˜bâ€™ respectively. Three squares are drawn on the three sides of the triangle on the outer side. What is the total area of the triangle and the three squares?
 A 2(a2 + b2) +ab B 2(a2 +b2)+ 2.5 ab C 2(a2 +b2)+ 0.5ab D 2.5 (a2 + b2)
Question 5 Explanation:

The total area = a2 +b2+ (a2 +b2) + Â 1/2ab.
=> Â 2(a2 +b2)+ 0.5ab The correct option is (c).
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