Question

Question reboot:
Image attached, it explains itself. please help

Answer 1

Answer:- 158.76 cm²

Draw the line BD through the quadrilateral ABCD .

Since we know ΔABD and ΔBCD both are right-angled, we can find their areas by the formula 1/2 * base * height , where we we already know their lengths .

So area of ΔABD = 1/2 * AB * AD

⇒ (1/2 * 7.5 * 18)cm²

⇒ $\frac{7.5*18}{2}$

⇒ 67.5 cm²

Area of ΔBCD = 1/2 * BC * CD

⇒ (1/2 * 11.7 * 15.6)cm²

⇒ $\frac{11.7*15.6}{2}$

⇒ 91.26 cm²

∴ Area of Quadrilateral ABCD = (Area of ΔABD) + (Area of ΔBCD)

⇒ (67.5 + 91.26)cm²

⇒ 158.76 cm²