Question

Each side of a square flower bed is 2 m 80 cm long.it is extended by digging a strip 30 cm wide all around it.find the area of enlarged flower bed and also increase in the area of the flower bed?

Answer 1

Hi ,

Let the side of the square flower

bed = a = 2m 80cm

a = 280cm

Width of strip = w = 30cm

New side after extension of

flower bed = a + 2w

s = 280 + 2 × 30

s = 280 + 60

s = 340 cm

Area of enlarged flower bed

= s² - a²

= ( 340 )² - ( 280 )²

= ( 340 + 280 )( 340 - 280 )

= 620 × 60

= 37200 sq cm

Area of the new square = s²

= 340²

= 115600 sq cm

Area of the flower bed = a²

= 280²

= 78400 sq cm

Increase in the area = 115600 - 78400

= 37200 sq cm

Increase percentage

= (37200×100)/78400

= 47.44 %

I hope this helps you.

: )