Question

The dimensions of a rectangle are given in

ectangle are given in terms of s as shown below.
-s+ / -
[not drawn to scale)
Select all expressions that represent the perimeter of the rectangle.
+
4s + 1
* 2s + 1
© 4s + 2
© 2/5 + 1)
© 2s +
® 22s +

Answer 1

Option A and Option F

The expressions that represent the perimeter of rectangle are 4s + 1 and
`2(2s + (1)/(2))`

Solution:

From figure,

Length = s

Width =
`s + (1)/(2)`

The perimeter of rectangle is given as:

perimeter = 2(length + width)

Substituting the values we get,

`perimeter = 2(s + s + (1)/(2))\\\\perimeter = 2(2s + (1)/(2))`

Thus option F is correct

On further simplification,

`perimeter = 2(2s + (1)/(2))\\\\perimeter = 4s + 2((1)/(2))\\\\perimeter = 4s + 1`

Thus Option A is correct