The algebraic expressions for the perimeter and area of the shape is 4x + 30y and 14xy + 16y² respectively.
What is the perimeter and area of the shape?
Rectangle:
Length = 4y + 3y = 7y
Width = 2x
Square:
Length = 4y
Perimeter of the shape = perimeter of the rectangle + perimeter of the square
= 2(length + width) + 4(length
= 2{(4y +3y) + 2x} + 4(4y)
= 2(7y + 2x) + 16y
= 14y + 4x + 16y
= 4x + 30y
Area of the shape = Area of rectangle + area of square
= (length × width) + Length²
= (7y × 2x) + 4y²
= 14xy + 16y²