Question

Help me pls.
100 points for those who work it out

Answer 1

Area of triangle = 4 cm²

Area of square = 4 cm²

Explanation:

`\boxed{\begin{minipage}{4 cm}\underline{Area of a triangle}\\\\$A=(1)/(2)bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}`

From inspection of the given diagram:

• b = 2 cm
• h = 4 cm

Substitute the values into the formula to find the area of the triangle:

`\begin{aligned}\implies A&=(1)/(2) * 2 * 4\\A&=1 * 4\\A&=4\;\sf cm^2\end{aligned}`

`\boxed{\begin{minipage}{4 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where:\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}`

From inspection of the given diagram:

• s = 2 cm

Substitute the value into the formula to find the area of the square:

`\begin{aligned}\implies A&=2^2\\A&=2 * 2\\A&=4\;\sf cm^2\end{aligned}`

The area of the triangle is 4 cm², and the area of the square is 4 cm², thus proving that the triangle and the square have the same area.

Answer 2

Area of square

• A = a²
• A = 2² = 4

Area of triangle

• A = bh/2
• A = 2×4/2 = 8/2 = 4

Both areas are equal, 4 cm²