Question

The side of a square flower bed is 1m 80cm long it is enlarged by digging a strip 20cm wide all around it find the area of the enlarged flower bed and also increase in the area of the flower bed.

Answer 1

Answer:

The area of the enlarged flower bed =is 4.84 sq.m. and increase in the area is  1.6 sq.m.

Step-by-step explanation:

The side of a square flower bed is 1m 80cm long

1 m = 100 cm

80 cm = $\frac{80}{100}$

80 cm = 0.8 m

So, the side of a square flower bed is 1.8 m

Area of square bed = $Side^2 = 1.8^2 = 3.24 m^2$

Now we are given that it is enlarged by digging a strip 20cm wide all around it

1 m = 100 cm

20 cm = $\frac{20}{100}$

20 cm = 0.2 m

So, new side = 1.8+0.2+0.2 =2.2 m

Area of enlarged flower bed = $Side^2 = 2.2^2 = 4.84 m^2$

Increase in the area of the flower bed = 4.84-3.24 = 1.6 sq.m.

Hence the area of the enlarged flower bed =is 4.84 sq.m. and increase in the area is  1.6 sq.m.

Answer 2

Answer:

16000 cm² Or 1.6 m²

Step-by-step explanation:

Side of a square flower bed (s) = 1m 80 cm

= 100 cm + 80cm

= 180 cm --:(1)

According to the problem given,

enlarged width (w) = 20 cm

Side of the new square (S)

= s+2w

= 180 + 2×20

= 180+40

= 220 cm---(2)

Now ,

Area of increase in the area of the flower bed (A) = S² - s²

= (220)² - (180)²

= (220+180)(220-180)

= 400 × 40

= 16000 cm²

= 1.6 m²

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