Find the perimeter and area of the following shapes:
Trapezoid:
Sides: 3 cm, 4 cm, 3 cm, 6 cm
Square:
Sides: 5 cm, 5 cm, 5 cm, 5 cm
Parallelogram:
Sides: 3 cm, 8 cm, 3 cm, 8 cm
Answer (2)
Let's find the perimeter and area of each shape one by one.
Trapezoid :
Perimeter : To find the perimeter of a trapezoid, simply add up all its sides. For this trapezoid, the sides are 3 cm, 4 cm, 3 cm, and 6 cm.
Perimeter = 3 cm + 4 cm + 3 cm + 6 cm = 16 cm
Area : To find the area of a trapezoid, use the formula:
Area = 2 1 × ( Base 1 + Base 2 ) × Height
In this case, to solve for the area, more information such as height would be needed. Assuming the height was provided, you would substitute it into the formula. Without this information, we can't calculate the area accurately.
Square :
Perimeter : All sides of a square are equal. For this square, each side is 5 cm.
Perimeter = 4 × 5 cm = 20 cm
Area : The area of a square is calculated as:
Area = side 2
Thus,
Area = 5 cm × 5 cm = 25 cm 2
Parallelogram :
Perimeter : A parallelogram has two pairs of equal sides. Here, the sides are 3 cm and 8 cm.
Perimeter = 2 × ( 3 cm + 8 cm ) = 22 cm
Area : The area of a parallelogram requires the base and height. Use the formula:
Area = Base × Height
Like the trapezoid, without the specific height value, we can't calculate the area.
Summarizing, we have successfully calculated the perimeters and areas where possible. Remember, calculating some areas requires additional measurements like height, which are not given.
The perimeters are 16 cm for the trapezoid, 20 cm for the square, and 22 cm for the parallelogram. The areas could not be calculated for the trapezoid and parallelogram due to the missing height information. The area of the square is 25 cm².
;
