Mensuration | Chapter Assessment | English | Grade 6

Perimeter of the given figure is _____.

• 38 cm

• 42 cm

• 32 cm

• 45 cm

Answer explanation

Option 2 is correct as perimeter of figure = sum of all sides = 12 + 4 + 4 + 12 + 5 + 5 = 42 cm

Perimeter of a rectangular garden with length 24 cm and breadth 13 cm is ______.

• 312 cm

• 169 cm

• 74 cm

• 576 cm

Answer explanation

Option 3 is correct as perimeter of rectangle = 2(l + b) = 2(24 + 13) = 74 cm

What is the perimeter of a regular heptagon with side 13 cm?

• 65 cm

• 91 cm

• 78 cm

• 104 cm

Answer explanation

Option 2 is correct as perimeter of regular heptagon = 7 × l = 7 × 13 = 91 cm

If the perimeter of a square is 68 cm, then what is the area of the square?

• 17 sq. cm

• 68 sq. cm

• 289 sq. cm

• 1156 sq. cm

Answer explanation

Let the side of the square = p cm Perimeter of square = 4 x side = 4 x p According to the question, 4 x p = 68 p = 68/4 p = 17 So, side of the square = 17 cm Area of square = side x side = 17 x 17 = 289 sq. cm So, option 4 is correct.

Find the area of given figure by splitting it into rectangles. (All measurements are in cm)

• 30 cm²

• 27 cm²

• 57 cm²

• 36 cm²

Answer explanation

Area of first rectangle = l × b = 9 × 3 = 27 cm² Area of second rectangle = l × b = 10 × 3 = 30 cm² Area of given figure = Area of first rectangle + Area of second rectangle = 27 cm² + 30 cm² = 57 cm² So, option 3 is correct.

There is a rectangular path of length 1.5 m and breadth 1.2 m. How many rectangular tiles of length 15 cm and breadth 5 cm can cover this path completely?

• 225

• 240

• 220

• 250

Answer explanation

Since 1 m = 100 cm Length of rectangular path = 1.5 m = 150 cm breadth of rectangular path = 1.2 m = 120 cm Area of rectangular path = length × breadth = 150 × 120 = 18000 cm² Similarly, area of 1 rectangular tile = l × b = 15 × 5 = 75 cm² Required number of rectangular tiles = area of rectangular path/ area of tile = 18000/75 = 240 Hence option 2 is correct answer.

Sakharam has a rectangular plot of length 26 m and breadth 12 m. He wants to divide the farm into three equal parts then what is the area of each part?

• 312 sq. cm

• 624 sq. cm

• 104 sq. m

• 208 sq. cm

Answer explanation

Option 3 is correct as area of rectangular plot = length × breadth = 26 m × 12 m = 312 m He divided it in 3 equal parts. Hence area of each part = 312 / 3 = 104 sq. m