Okay, let's solve this step-by-step:
Given information:
- The rectangle has a base of 21 inches.
- The perimeter of the rectangle is 66 inches.
To find the height and the area, we can use the following formulas:
Perimeter of a rectangle = 2 × (length + width)
Area of a rectangle = length × width
Step 1: Find the width of the rectangle.
Perimeter = 2 × (length + width)
66 = 2 × (21 + width)
33 = 21 + width
Width = 12 inches
Step 2: Find the height of the rectangle.
Height = Perimeter - 2 × Base
Height = 66 - 2 × 21
Height = 24 inches
Step 3: Calculate the area of the rectangle.
Area = Base × Height
Area = 21 × 24
Area = 504 square inches
Therefore, the height of the rectangle is 24 inches, and the area of the rectangle is 504 square inches.
