Question

each side of a square flower bed is 2 metre 40 cm long it extended by making a border 15 cm wide all around it find the area of the border

Answer 1

Answer:

The area of the border will be 1.53 m²

Step-by-step explanation:

original size of each side of the bed = 2 m 40 cm = 2.4 m

=> original area = a² = 2.4² = 5.76 m²

since it is extended by adding a border of 15 cm on each side, hence net increase in the side = 15 + 15 = 30 cm = 0.3 m

hence

new side = 2.4 + 0.3 = 2.7 m

so the new increased area = 2.7² = 7.29 m²

Hence the area of the border = increased area - original area

= 7.29 - 5.76

= 1.53 m²

Hence the area of the border will be 1.53 m²

Answer 2

Answer:

Area of the border is 1.53 m²

Step-by-step explanation:

Given that

Length of each side of square floor = 2.4m

Area of square foor = A = x²

Area of square foor = A = (2.4)² = 5.76 m²

Now, as we have added border of 15cm or 0.15m width all around the square, the length of sides of square changes. We can find the new lenght of square floor as follows:

New Length = Old Length + 2 (width of border)

New Length = 2.4m + 2 (0.15)

New Length = 2.4m + 0.3m

New Length = 2.7 m

New Area of Square floor = A' = x²

New Area of Square floor = A' = (2.7)² = 7.29 m²

Now, we can calculate the area of the border as follows:

Area of the border = New area of square floor - Old area of square floor

Area of the border = 7.29 - 5.76

Area of the border = 1.53 m²

So, our area of the border is 1.53 m²