Answer:
48 cm
Explanation:
Here Is a trapezium and a square, The lengths of the parallel sides of the trapezium are 10 cm and 14 cm, The height of the trapezium is 12 cm. The area of the square is equal to the area of the trapezium. Work out the perimeter of the square.
Solution:
The area of the trapezium is given by:
A = (1/2)(a + b)h
where h is the height of the trapezium = 12 cm, a and b are the parallel sides. Given that a = 10 cm, b = 14 cm, hence:
A = (1/2)(10 + 14)12 = 144 cm²
Area of trapezium = Area of square
Area of square = 144 cm²
Area of square = length * length = length²
length² = 144 cm²
length = √144 = 12 cm
Perimeter = 4 * length = 4 * 12 cm = 48 cm