Area Problems Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm. 14 cm 18 cm 15 cm 20 cm 14 cm 18 cm 15 cm 20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 cm
Area Problems A rectangle has 15 cm as its length and 150 cm 2 as its area .Its area is increased to 1 1 / 3 times the original area by increasing only its length . Its new perimeter is? 70 cm 80 cm 60 cm 50 cm 70 cm 80 cm 60 cm 50 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Breadth of the rectangle = (150/15) cm= 10 cmNew area = (4/3 x 150) cm2= 200 cm2New length = 200/10 cm=20 cmNew perimeters = 2(20 + 10) cm= 60 cm
Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 3:1 3:4 1:3 9:1 3:1 3:4 1:3 9:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1
Area Problems In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is? 26.4 cm 13.2 cm 21.6 cm 19.8 cm 26.4 cm 13.2 cm 21.6 cm 19.8 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Arc length = 2?r (?° / 360°) = 2 x (22/7) x 21 x (72° / 360°) cm= 26.4 cm
Area Problems What is the area of a square having perimeter 68 cm? 289 sq cm 269 sq cm 284 sq cm 361 sq cm 289 sq cm 269 sq cm 284 sq cm 361 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq cm
Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 12.36% 8.39% 15% 17% 12.36% 8.39% 15% 17% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
EXAMIANS