Question

A rectangular field measures 85m by 51m. A garden is to be laid in it. how many plants will be required, if each plant requires 2m 50cm long and 1m 50cm wide space​

Answer 1

Step-by-step explanation:

Given :-

A rectangular field measures 85m by 51m. A garden is to be laid in it.

To find:-

How many plants will be required, if each plant requires 2m 50cm long and 1m 50cm wide space

Solution:-

Length of the rectangular field (l) = 85 m

Breadth of the rectangular field (b) = 51 m

Area of a rectangle = lb sq.units

Area of the rectangular field =

85×51 sq.m

=> 4335 sq.m

Area of the given field = 4335 sq.m

Length of the space occupied by a plant =

2m 50 cm

We know that 1 m = 100 cm

1 cm = 1/100 = 0.01 m

2m 50 cm = 2.50 m

and

breadth of the space occupied the plant =

1m 50cm= 1.50 m

Area of the space occupied by one plant

=> 2.50× 1.50 sq.m

=> 3.75 sq.m

Area of the space occupied by a plant in the garden = 3.75 sq.m

Let the required plants in the garden be 'n'

Area occupied by n Plants = n × 3.75 sq.m

Area occupied by n Plants = Area of the field

n × 3.75 = 4335

=> n × 375/100 = 4335

=>( 375/100)×n = 4335

=> 375 n = 4335×100

=> 375 n = 433500

=> n = 433500/375

=> n = (1156×375)/375

=> n = 1156

Number of plants = 1156

Answer:-

Total number of plants required to plant in the garden of the rectangular field is 1156

Used formulae:-

• Area of a rectangle = lb sq.units
• l = length of the rectangle.
• b= breadth of the rectangle
• 1 m = 100 cm
• 1 cm = 1/100m = 0.01 m