Question

the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.

Answer 1

To calculate the perimeter and area, the length was determined from the given ratio and breadth (48m) as 80m. The perimeter was then calculated as 256m and the area as 3840
`m^2`.

Step-by-step explanation:

To find the perimeter and area of the piece of land with the given ratio and breadth, we first need to find the length of the land. We are given the ratio of length to breadth as 5:3 and know that the breadth is 48m.

Using the ratio, we can set up a proportion to find the length:
Length / Breadth = 5 / 3
Length / 48 = 5 / 3
Length = (5 / 3) * 48
Length = 5 * 16
Length = 80m.

Now that we have the dimensions of the land, we can calculate the perimeter:
Perimeter = 2 * (Length + Breadth)
Perimeter = 2 * (80m + 48m)
Perimeter = 2 * 128m
Perimeter = 256m.

Next, we calculate the area:
Area = Length * Breadth
Area = 80m * 48m
Area = 3840
`m^2`.

Answer 2

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

48m ÷ 3 = 16 m ← value of 1 part of the ratio, so

5 parts = 5 × 16 m = 80 m

Then breadth = 48 m and length = 80 m

perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m

area = lb = 80 × 48 = 3840 m²