Question

Teulally

1
in.
1 in.
(8, 13)
9. What is the perimeter of the
rectangle?

Answer 1

`5(1)/(2)\ inches`

Explanation:

The perimeter of the rectangle is

`P=2(\text{Length}+\text{Width})`

From the diagram,

Length =
`1 (1)/(2)` inches

Width =
`1(1)/(4)` inches

So, the perimeter is

`P=2\left(1(1)/(2)+1(1)/(2)\right)`

Add numbers in brackets:

`1+1=2\\ \\(1)/(2)+(1)/(4)=(2)/(4)+(1)/(4)=(3)/(4)\\ \\1(1)/(2)+1(1)/(4)=(8)/(4)+(3)/(4)=(11)/(4)`

Now, multiply it by 2:

`P=2\cdot (11)/(4)=(11)/(2)=5(1)/(2)\ inches`