Each side of a square flower bed is 2m 80 cm long. it is extended by digging a strip 30 cm wide all around it.Find the area of the enlarged flower bed and also the increase in the area of the flower bed.
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Answers
Answer:
The area of new bed is 115600 cm². The change in area is 37200 cm².
Step-by-step explanation:
The area of a square is
A=a²
where, a is side length.
It is given that the bed is 2m 80cm long.
2m 80cm = 2×100 + 80 = 280cm
The area of bed is
A1 = (280)² = 78400
It is extended by digging a strip 30 cm wide all around it.
The new side length is
280 + 2(30) = 340
The area of new bed is
A2 = (340)² = 115600
The area of new bed is 115600 cm².
Change in area is
115600 - 78400 = 37200
Therefore the change in area is 37200 cm².
hope its helpful!
Step-by-step explanation:
Side of square flower bed = 2 meter 80 cm
1 meter = 100 cm
⇒ 2 meter 80 cm = 200 + 80 = 280 cm
Area of square = side²
⇒ Area of flower bed = 280²
= 78400 cm²
= 7.84 m²
Length of flower bed after extension = 280 cm + 30 cm
= 310 cm
Area of enlarged flower bed = 310²
= 96100 cm²
= 9.61 meter²
Increased Area = 9.61 - 7.84
= 1.77 meter²
Hope it help!