Answer:
20 square yards
Explanation:
Perimeter is l + l + w + w or 2l + 2w
Because these rectangles have the same perimeter they are equal.
Set them equal in an equation
2(9) + 2(3) = 2(l) + 2(2)
Simplify
18 + 6 = 2l + 4
24 = 2l + 4
Subtract 4 from both sides to isolate the variable l
20 = 2l
Divide both sides by 2
10 = l
So the length of the purple triangle is 10 yd
Area = l x w
Substitute in the values of the purple triangle
Area = 10 x 2
Area = 20 square yards