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The area of the path 1 m wide surrounding a playground 60 m long and 40 m broad is

A.

2604 sq. m.

B.

240 sq. m.

C.

200 sq. m.

D.

204 sq. m.

Answer with explanation

Answer: Option DExplanation

Length of the playground (L1) = 60 m

Breadth of the playground (B1) = 40 m

∴ area of the playground = length * breadth = 60 * 40 = 2400 sq. m

Also,

Length of the playground including length of the path (L2) = 60 + 2 = 62 m

Breadth of the playground including length of the path (B2) = 40 + 2 = 42 m

∴ area of the playground including area of the path = 62 * 42 = 2604 sq. m

Thus, area of the path = 2604 – 2400 = 204 sq. m

Workspace

A rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise per sq. metre is:

A.

Rs. 257.50

B.

Rs. 275

C.

Rs. 262.50

D.

Rs. 258

Answer with explanation

Answer: Option DExplanation

area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m

cost of graveling = 344 x (75/100) = Rs. 258

Workspace

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required ?

A.

86 feet

B.

84 feet

C.

88 feet

D.

82 feet

Answer with explanation

Answer: Option CExplanation

We are given with length and area, so we can find the breadth.

as Length * Breadth = Area

=> 20 * Breadth = 680

=> Breadth = 34 feet

Area to be fenced = 2B + L = 2*34 + 20

= 88 feet

Workspace

A wire is in the form of a circle. The radius of the circle is 28 cm. The wire is then moulded to form a square. Find the side of the square formed?

A.

11 cm

B.

44 cm

C.

66 cm

D.

22 cm

Answer with explanation

Answer: Option BExplanation

Radius of the circle (r) = 28 cm.

Length of the wire (Circumference) = 2πr=2π28=176 cm

Let side of the square be ‘a’ cm.

Perimeter of square (4a) = Circumference of the circle = 176 cm

or, 4a = 176 cm

or, a = 44 cm

Thus, side of the square is 44 cm.

Workspace

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