Question

solve the problem in the correct way ​

Answer 1

(8) The perimeter of a square is 176 m. Find the area of the field. Also, find the cost of laying grass on it at Rs. 5.50 per square meter.

Perimeter of Square = 176 m

Sides of a Square = 4

One Side = 176 ÷ 4

= 44 m

Hence, the one side of the square is 44 m.

Area of Square = s × s

= 44 × 44 sq.m

= 1936 sq.m

Rate for laying Grass = rate × area

= 5.50 × 1936

= Rs. 10648

Hence, the rate of laying Grass is Rs. 10,648.

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(9) The area of Rectangular Mat is 5.6 sq.m If the length of the mat is 3.5 m, find its breadth.

Area of Rectangular Mat = 5.6 sq.m

Length of Mat = 3.5 m

$\sf Breadth = \dfrac{area}{length}$

$\sf Breadth = \dfrac{5.6}{3.5}$

$\sf = 1.6 \: m$

Hence, the Breadth of the Rectangular Mat is 1.6 m.

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(10) How many cards can be made out of a sheet of paper measuring 324 cm by 144 cm, if each card requires a piece of paper of size 16 cm by 12 cm.

Measure of Paper = 324 cm and 144 cm

Measure of Card = 16 cm and 12 cm

Area of Rectangular Paper = l × b

= 324 × 144

= 46656 sq. cm

Area of Card = l × b

= 16 × 12 sq. cm

= 224 sq.cm

$\sf No \: of \: Cards = \dfrac{area \: of \: paper}{area \: of \: card}$

$\sf = \dfrac{46656}{224}$

= 208

Hence, 208 cards can be made.

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(11) The distance covered by a boy in going five times around the square shaped park is 1025 sq.m. What is the area of park?

Perimeter of Park = 1025 m

No of Rounds = 5

One round = perimeter ÷ no of rounds

= 1025 ÷ 5

= 205 m

No of sides = 4

Side = 205 ÷ 4

= 51.25 m

Area of Square = a × a

= 51.25 × 51.25

= 2626.56 sq.m

Hence, the Area of Square is 2626.56 sq.m.

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(12) A rectangle has length 50 cm and length 45 cm. A square has each side 48 cm. Which has more area and by how much ?

Area of Rectangle = l × b

= 50 × 45 sq.m

= 2250 sq.m

Area of Square = s × s

= 48 × 48 sq.m

= 2304 sq.m

Difference = Rectangle - Square

= 2304 - 2250

= 54 m

Hence, Square has more area by 54 m.