Quiz-1

 

Explanation:

Area of a triangle = r * s

Explanation:

Area of a parallelogram = base * height = 24 * 16 = 384 cm²

Explanation:

Let the length and the breadth of the rectangle be 4x cm and 3x respectively.

Explanation:

Let the sides of the rectangle be l and b respectively.
From the given data,
(√l2 + b^2) = (1 + 108\frac{1}{3} %)lb
=> l2 + b2 = (1 + 325/3 * 1/100)lb
= (1 + 13/12)lb
= 25/12 lb
=> (l2 + b2)/lb = 25/12
12(l^2 + b^2) = 25lb
Adding 24lb on both sides
12l^{2} + 12b^{2} + 24lb = 49lb<br /> 12(l^2 + b^{2} + 2lb) = 49lb<br /> but 2(l + b) = 28 => l + b = 14<br /> 12(l + b)^{2} = 49lb
=> 12(14)^{2} = 49lb
=> lb = 48
Since l + b = 14, l = 8 and b = 6
l - b = 8 - 6 = 2m.

Explanation:

Let the breadth of the plot be b m.

Let length be l and Breadth be b

Thus According to question
l = 200/100*b + b
l = 3b

Cost of Covering 1 m sq area = 3 Rs

Thus Cost of covering x m Sq area = 324 Rs

Cross Multiplying the above we get

x = 324/3
x = 108 m sq
and we know

area = l * b
x = l * b
108 = 3b * b
b^{2} = 36
b = 6
thus length l = 3b
l = 3*6
l = 18 m
thus length is 18 m

Explanation:

Let the side of the square plot be a ft.

Explanation:

Area of the square = s * s = 5(125 * 64)
=> s = 25 * 8 = 200 cm
Perimeter of the square = 4 * 200 = 800 cm.

Explanation:

Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circumference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places

Explanation:

Ratio of the sides = ³√729 : ³√1331 = 9 : 11