Area Problems A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges? 20% 40% 30% 10% 20% 40% 30% 10% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP let the side of the square be x meterslength of two sides = 2x metersdiagonal = 2 x = 1.414x m saving on 2x meters = .59x m saving % = 0 . 59 x 2 x * 100 % = 30% (approx)
Area Problems The altitude of an equilateral triangle of side 2 ? 3 cm is? 3 cm 1/2 cm ? 3/2 cm ? 3/4 3 cm 1/2 cm ? 3/2 cm ? 3/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.
Area Problems The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm. Neither (A) nor (B) is reuired Only statement B is required Only statement A is required Both A & B are required Neither (A) nor (B) is reuired Only statement B is required Only statement A is required Both A & B are required ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From statement (A), 20b = (1/2) × b × h h = 40 cm.
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 48 cm 46 cm 49 cm 44 cm 48 cm 46 cm 49 cm 44 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
Area Problems The area of circle is 38.5 sq. cm. Its circumference is? 121 cm 22 cm 11 cm 6.20 cm 121 cm 22 cm 11 cm 6.20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm
Area Problems A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required? 34 88 68 40 34 88 68 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We have: l = 20 ft and lb = 680 sq. ft. So, b = 34 ft. ∴ Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft
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