Area Problems What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad? 840 844 814 820 840 844 814 820 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm. Area of each tile = (41 x 41) cm2. ∴ Required number of tiles = ❨ 1517 x 902 ❩ = 814
Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. 3 cm 3?3 cm 9 cm ?3 cm 3 cm 3?3 cm 9 cm ?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm
Area Problems The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? 40 m 20 m 30 m 50 m 40 m 20 m 30 m 50 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
Area Problems Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m. ? 1500 ? 1280 ? 1300 ? 1750 ? 1500 ? 1280 ? 1300 ? 1750 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the carpet = Area of the room = 8 x 6 = 48 sq mWidth of the carpet = 75/100 = 3/4 mLength of the carpet = 48 x (4/3) = 16 x 4 = 64 m? Cost of carpeting = 64 x 20 = ? 1280
Area Problems The two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is? 18 sq. meters . 9 sq. meters . 6 sq. meters . 12 sq. meters . 18 sq. meters . 9 sq. meters . 6 sq. meters . 12 sq. meters . ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 49 cm 48 cm 44 cm 46 cm 49 cm 48 cm 44 cm 46 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
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