Question

The width of stamp M is 4/3 inches, and the length is 7/5 inches. The dimensions of stamp M are 7/6 time the dimensions of stamp P What is the length of stamp P in inches

Answer 1

• The length of stamp P is:

`(6)/(5)\ inches`

• The width of stamp P is:

`(8)/(7)\ inches`

Explanation:

It is given that:

The width of stamp M is 4/3 inches, and the length is 7/5 inches.

The dimensions of stamp M are 7/6 times the dimensions of stamp P.

i.e. if l and w represents the length and width respectively of stamp P.

and L and W represents the length and width respectively of stamp M.

Then we have:

`L=(7)/(6)l\\\\W=(7)/(6)w`

i.e.

`l=(6)/(7)L\\\\and\\\\w=(6)/(7)W`

Now, based on the question we have:

`L=(7)/(5)\ inches\\\\and\\\\W=(4)/(3)\ inches`

Hence, we get:

`l=(6)/(7)* (7)/(5)\\\\l=(6)/(5)\ inches`

and

`w=(6)/(7)* (4)/(3)\\\\w=(8)/(7)\ inches`

Answer 2

we know that

The width of stamp M is 4/3 inches, and the length is 7/5 inches.
so
The width of stamp P is (4/3)/(7/6)------> 24/21 in-------> 8/7 in
The length of stamp P is (7/5)/(7/6)------> 42/35 in-------> 6/5 in

the answer is
The length of stamp P is 6/5 in