APPLICATIONS

Perimeter of rectangle
Area of rectangle

Length = 5+3d
Width = 2d

Perimeter of rectangle = 2(length + width)

Substitute the given expressions for length and width:
Perimeter = 2((5+3d) + 2d)
Perimeter = 2(5 + 3d + 2d)
Perimeter = 2(5 + 5d)
Perimeter = 10 + 10d

Therefore, the perimeter of the rectangle is 10 + 10d.

Area of rectangle = length x width

Substitute the given expressions for length and width:
Area = (5+3d)(2d)
Area = 10d + 6d^2

Therefore, the area of the rectangle is 6d^2 + 10d.