### Home > CAAC > Chapter 2 > Lesson 2.1.7 > Problem 2-71

2-71.

Examine the shape made with algebra tiles below. Homework Help ✎

Write an expression that represents the perimeter of the shape. Then evaluate your expression for

*x*= 6 and*y*= 10 units.Write an expression that represents the area of the shape. What is the area if

*x*= 6 and*y*= 10 units?

Label each side with its length and write an expression for the perimeter. 2*x* + 3*y* + (*y* − 2) + 4 = 2*x* + 4*y* + 2

Evaluate this expression.

2(6) + 4(10) + 2

12 + 40 + 2 = 54

54

Area is the total square units of a shape.

It might be helpful to break the shape into parts, find the area of the parts, and then sum them to find the area of the whole.

113 square units. Make sure to show your work, including the expression you wrote for the area.