Question

Anju has a piece of land in the shape of rectangle. She wants her one daughter and one

son to work on the land and produce different crops. He divided the land in two equal

parts. If its adjacent sides are 120 m and 50 m respectively.

D C

50m

A 120m B

(i) What is length of diagonal of land?

(ii) What is the perimeter of rectangle land?

(iii) How much area each of them will get for their crops?

(iv) What is the total area of land?
​

Answer 1

Given: length = 120 m

Breadth = 50 m

Area of rectangle = length× breadth

Area = 120×50

Area= 6000 m²

So Son and daughter each will get 3000 m² of land

In rectangle opposite sides are equal

So,

Let Length of diagonal be x

x² = 120² + 50²

x²= 14400+2500

x²= 16900

x= √16900

x= 130 m is length of diagonal of rectangular land

Perimeter of rectangle = 2× length + 2×

breadth

Perimeter = 2×120+2×50

Perimeter = 240+100

Perimeter = 340 m

1. Length of the diagonal = 130 m
2. Perimeter of rectangle = 340m
3. 3000m² is the area of land that each son and daughter will receive
4. Total area is 6000m²