Question

The area of triangle is half the area of a square. The perimeter of the square is 224cms. What is the area of the triangle?

• A. 1568 cm²
• B. 1856 cm²
• C. 1558 cm²
• D. 1658 cm²

Answer 1

The Correct Option is A

The perimeter of a square is given as 224 cm. To find the side length of the square, we use the formula for the perimeter of a square which is \( P = 4s \), where \( s \) is the side length.

\( s = \frac{224}{4} = 56 \) cm

Now, the area of the square is \( s^2 \). 

\( \text{Area of square} = 56 \times 56 = 3136 \text{ cm}^2 \)

According to the problem, the area of the triangle is half of the area of the square.

\( \text{Area of triangle} = \frac{3136}{2} = 1568 \text{ cm}^2 \)

The area of the triangle is therefore 1568 cm².