Use familiar figures to find the area and perimeter of each figure.
The rectangle has a length measuring 60 centimeters and a height measuring 30 centimeters.
The first triangle has a base measuring 30 centimeters, sides measuring 43 centimeters, and a height measuring 40 centimeters.
The second triangle has a base measuring 60 centimeters, sides measuring 42 centimeters, and a height measuring 30 centimeters.
Rectangle:
Area = 60 cm x 30 cm = 1800 cm^2
Perimeter = 2(60 cm + 30 cm) = 180 cm
First Triangle:
Area = (1/2) x 30 cm x 40 cm = 600 cm^2
Perimeter = 30 cm + 43 cm + 40 cm = 113 cm
Second Triangle:
Area = (1/2) x 60 cm x 30 cm = 900 cm^2
Perimeter = 60 cm + 42 cm + 30 cm = 132 cm
To find the area and perimeter of each figure, we can use the formulas for the area and perimeter of a rectangle and a triangle.
1. Rectangle:
Length = 60 cm
Height = 30 cm
To find the area of a rectangle, we can use the formula:
Area = length × height
Plugging in the given values:
Area = 60 cm × 30 cm = 1800 cm²
To find the perimeter of a rectangle, we can use the formula:
Perimeter = 2 × (length + height)
Plugging in the given values:
Perimeter = 2 × (60 cm + 30 cm) = 2 × 90 cm = 180 cm
So, the area of the rectangle is 1800 cm² and the perimeter is 180 cm.
2. First Triangle:
Base = 30 cm
Sides = 43 cm
Height = 40 cm
To find the area of a triangle, we can use the formula:
Area = (base × height) / 2
Plugging in the given values:
Area = (30 cm × 40 cm) / 2 = 1200 cm²
To find the perimeter of a triangle, we need to add the lengths of all three sides.
Plugging in the given values:
Perimeter = 30 cm + 43 cm + 43 cm = 116 cm
So, the area of the first triangle is 1200 cm² and the perimeter is 116 cm.
3. Second Triangle:
Base = 60 cm
Sides = 42 cm
Height = 30 cm
To find the area of the triangle, we can use the same formula as above:
Area = (base × height) / 2
Plugging in the given values:
Area = (60 cm × 30 cm) / 2 = 900 cm²
To find the perimeter of the triangle, we add the lengths of all three sides.
Plugging in the given values:
Perimeter = 60 cm + 42 cm + 42 cm = 144 cm
So, the area of the second triangle is 900 cm² and the perimeter is 144 cm.