A sheet of paper measures 25 cm by 20 cm. A strip 2 cm wide is cut from it all around. Find the area
The side of a square flower bed is 1 m 80 cm long. It is enlarged by digging a strip 20 cm wide
around it. Find the area of the enlarged flower bed and also the increase in area of the flower bed.also show the diagram of the square flower bed
Answers
Answer:
500 sq.cm
Step-by-step explanation:
A sheet of paper measures 25 cm by 20 cm. A strip 2 cm wide is cut from it all around. Find the area of the remaining sheet and also the area of the strip cut out.
area of the pape
r= l × b = 25 × 20
= 500 square cm.
Correct question - Part (1)
A sheet of paper measures 25 cm by 20 cm. A strip 2 cm wide is cut from it all around. Find the area of the remaining sheet and the area of the strip cut out from it.
Solution:
Part (1):
Length of the sheet = 25 cm
Breadth of the sheet = 20 cm
Total area of the sheet = length x breadth
= 25 x 20
= 500 cm²
It is given that a strip of width 2 cm is cut out from all sides.
So the length of the paper when the strip is cut out:
= 25 - (2 + 2)
= 25 - 4
= 21 cm
The breadth of paper when the strip is cut out:
= 20 - (2 + 2)
= 20 - 4
= 16 cm
Area of the remaining sheet = length x breadth
= 21 x 16
= 336 cm²
Area of the strip cut out from the sheet = Total area - remaining area
= 500 - 336
= 164 cm²
So:
⇒ Area of the remaining sheet = 336 cm².
⇒ Area of the strip cut out = 164 cm².
Part (2):
Initial length of the side of the flower bed = 1 m 80 cm (180 cm)
Area of the bed = a²
Area of the bed = 180²
= 32400 cm²
It is given that the enlargement was done by increasing 20 cm width.
New length of the side = 180 + 20 + 20
= 220 cm
Area of the enlarged bed = a²
= 220 ²
= 48400 cm²
Converting to m², area of the enlarged bed = 4.84 m²
Now, increase in area = Enlarged area - Actual area
= 4.84 - 3.24
= 1.6 m²
⇒ Area of the enlarged bed = 4.84 m²
⇒ Area of increase = 1.6 m²
