Question

Write an expression in simplest form for the perimeter of each figure

Answer 1

QUESTION 12

The given figure has five unequal sides.

The perimeter is the distance around the figure.

So we add all the lengths of the sides of the rectangle to get,


`Perimeter = 5x + 4x + 2.8y + 2x + 2.2y`

We regroup the like terms to obtain,


`Perimeter = 5x + 4x +2x + 2.8y + 2.2y`

This will simplify to give us,


`Perimeter = 11x + 5.0y`


`Perimeter = 11x + 5y`

QUESTION 13

The given figure has two pairs of sides that are equal in length and three unequal sides.

The perimeter can be found by adding all the lengths of the sides of the of the figure.

This will give us


`Perimeter = 6b + 5a + 3b + 4 + 3a + 2b + 5a`

We regroup like terms to obtain,


`Perimeter = 6b + 2b+ + 3b + 5a + 5a +3a + 4 +`

This finally simplifies to ,

.

`Perimeter = 11b + 13a + 4 +`

QUESTION 14

This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.

We add all the lengths of the sides of the plane figure to get,


`Perimeter =4j + 4j+ 4j+ 4j + 2h + 2h`

This will simplify to give us,


`Perimeter =16j + 4h`