The base of a rectangle is 2 inches longer than its height. The base of the rectangle is 12 inches in length. What is the area of the rectangle in square inches?
Let's denote the height of the rectangle as h inches.
Since the base of the rectangle is 2 inches longer than the height, we can express the base in terms of h as h + 2 inches.
Given that the base of the rectangle is 12 inches in length, we have:
h + 2 = 12
Subtracting 2 from both sides, we get:
h = 10
Therefore, the height of the rectangle is 10 inches and the base is 12 inches.
The area of a rectangle is given by the formula: Area = base x height
So, the area of the rectangle is:
Area = 12 x 10 = 120 square inches
Therefore, the area of the rectangle is 120 square inches.
Huey has a square tablecloth. Each side of the tablecloth measures 5 feet. What is the tablecloth's area?
Since a square tablecloth has all sides of equal length, and each side measures 5 feet, this means that the tablecloth is a square with side length 5 feet.
The area of a square can be calculated by multiplying the length of one side by itself. Therefore, the area of the tablecloth is:
Area = side length x side length
Area = 5 feet x 5 feet
Area = 25 square feet
Therefore, the tablecloth's area is 25 square feet.
Why is this the answer?
The area of a square is calculated by multiplying the length of one side by itself. This is because a square has all equal sides, so the area can be represented as side length multiplied by side length.
In this case, each side of the square tablecloth measures 5 feet. By multiplying 5 feet by 5 feet, you get 25 square feet. This is the answer for the area of the square tablecloth because it represents the total amount of space that covers the surface of the square tablecloth, which is the definition of area.
A rectangle is twice as long as it is tall. Its height is 5 centimeters. What is its area?
Given that the height of the rectangle is 5 centimeters, let's denote the length of the rectangle as L centimeters.
Since the rectangle is twice as long as it is tall, the length can be expressed as L = 2 * 5 = 10 centimeters.
The area of a rectangle is given by the formula: Area = Length x Height
Substitute the values of Length and Height into the formula:
Area = 10 * 5 = 50 square centimeters
Therefore, the area of the rectangle is 50 square centimeters.