Area Problems The perimeter of a rectangle having area equal to 144 cm 2 and sides in the ratio 4 : 9 is 52 cm 64 cm 56 cm 60 cm 52 cm 64 cm 56 cm 60 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let l = 4k and b = 9kArea of rectangle = l x b144 = 4k x 9k ? k2 = 144/36 ? k2 = 4? k = 2? l = 8 cm and b = 18 cmPerimeter of rectangle = 2(l + b)= 2(8 + 18)= 2 x 26= 52 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? 50 m 20 m 30 m 40 m 50 m 20 m 30 m 40 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 The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre. Rs.15500 Rs.18500 Rs.16500 Rs.17500 Rs.15500 Rs.18500 Rs.16500 Rs.17500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 5.5 × 3.75 sq. metre. Cost for 1 sq. metre. = Rs. 800 Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 20% 10% 15% 18% 20% 10% 15% 18% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 250% 150% 450% 350% 250% 150% 450% 350% ANSWER DOWNLOAD EXAMIANS APP
Area Problems The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet? 37 5(1/4) 13(1/2) 27 37 5(1/4) 13(1/2) 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = (15 / 2) 2 - (9 / 2) 2 ft = (225 / 4) - (81 / 4) ft = 144 / 4 ft = 6 ft Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
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