1. A rectangular park is 30 m long and 20 m broad. A steel wire fence is put all around it. Find the cost of fencing all around the park at the rate of Rs 15 per meter.
2. A rectangle and a square have the same perimeter 100 cm. Find the side of the square. If the rectangle's breadth is 2 cm less than the side of the square, find the length and breadth of the rectangle.
Answers
Answer:
1. Rs. 1500
2. 25 cm, 23 cm, 27 cm
Step-by-step explanation:
1. Length of the park, l = 30 m
Breadth of the park, b = 20 m
Perimeter of the park = 2( l + b)
= 2(30 + 20)
= 100 m
Rate of fencing around the park = Rs. 15 per metre
Cost of fencing = 15 × 100
= Rs. 1500
∴ The cost of fencing all around the park is Rs. 1500.
2. Let the perimeter of rectangle = P
and that of square = p
Given: P = p = 100 cm
Side of the square, s = 100 ÷ 4
= 25 cm
According to the condition:
Breadth of the rectangle, b = 25 - 2
⇒ b = 23 cm
Length of the rectangle, l = ?
P = 2( l + b)
⇒ 100 = 2( l + 23)
⇒ 50 = l + 23
⇒ l = 27 cm
∴ The length and breadth of the rectangle are 27 cm and 23 cm. The side of the square is 25 cm.
Hope this helps you :)