Mapping Your Way Test 1

Length = 18cm

Breadth = 16 cm 

Area = l * b

= 18 * 16 = 288cm²

Perimeter of the square = 52cm

Perimeter of the square = side × 4 = 52cm

► side=52/4

► side=13cm

Therefore area of the square = side×side

= 13×13

= 169cm²

Given that Base + 4 = Height ... ...(as base is 4 cm less than height)

► And Height = 18 cm

► So Base + 4 = 18 cm

► Base = 18 - 4 = 14 cm

So Area of triangle = ( base × height) / 2 = 126 cm².

Given that the radius r = 5.6 cm

Circumference of a circle = 2 π r = 2 x π x 5.6 = 35.19 cm ≈ 35.2 cm

Perimeter = Sum of all sides 

Here the sides are 4 cm , 4 cm , 5 cm , 4 cm and 5 cm

Sum of all sides = 4 + 4 + 5 + 4 + 5 = 22 cm

Given that Perimeter of rectangle is = 72 cm

► Perimeter of square = 4 x Side of a square

Given that perimeter of a rectangle and a square are equal.

► So 72 cm = 4 x Side of square

► Side of square = 72 / 4 = 18 cm

Now Area of Sqaure = ( side )²

► ( 18 )² = 324 cm²

For finding the amount of water, we need to find the volume of the container

Volume of the container = Lenght x Breadth x Height

= 12m x 15m x 18m = 3240m³

Given that the base of triangle = 36 cm

► Height = 3 times base = 3 x 36 = 108 cm

► Area of the triangle = (b x h) / 2

► (108 x 36) / 2 = 1944cm²

Radius of the circle given

So the Area of a circle = π r² = π x 10.5² = 346.36 cm²

Area of square = 10000cm² = side x side 

= Side = 100 cm

Perimeter of the Square = 4 x side = 4 x 100 = 400 cm