Question

The length of a piece of cloth is 15m. It is cut into 6 pieces. The length of the largest piece is the same as the total length of the other 5 pieces. The length of the largest
piece is ________.​

Answer 1

Answer:

7.5 cm

Step-by-step explanation:

suppose the length of the largest piece = y cm

sum of length of all other pieces = x cm

As total length of the piece of cloth is 15 cm, we can write

∴ x + y = 15 cm ---------(1)

Also given that,

The length of the largest piece= total length of the other 5 pieces.

that is x= y ----------------------(2)

from equation (1) and (2),

we can say that 2y = 15

∴ y = 7.5 cm

i.e. the length of the largest piece is 7.5 cm

Answer 2

let one piece be x m long

length of another piece 36-x

ATQ

length of one piece 1/5 (length of another piece)

x=1/5(36-x)

5x=36-x

6x=36

x=6m

length of 1 pieces 6 metre

length of another piece =36-6=30m

product of length of both pieces = 6m×30=180 m²