CPM Homework Help : CC1 Problem 6-115

Sketch the algebra-tile shape at right on your paper. Write an expression for the perimeter of the shape. Then find the perimeter for each of the given values of $x$ .

Hint:

Find the perimeter as you did in problems 6-96 and 6-106, including $x$ as part of the expression.

Expression:

$P = 4x + 4$

1 vertical x tile, with 1 x squared tile connected on the right side, and 1 unit tile connected on top, aligned on the left.

$x = 7 \text{ units}$

Hint (a):

Substitute $7$ for $x$ in the expression of the perimeter.

More Help (a):

Evaluate the expression.
$4(7) + 4 = ?$

Answer (a):

$32$ units

$x = 5.5\text{ units}$

Hint (b):
Substitute $5.5$ for $x$ in the expression of the perimeter and evaluate.
Answer (b):
$26$ units

$x = \frac { 7 } { 3 }\text{ units}$

Hint (c):
See part (a) or (b).