Question

find the area of △vwx.
write your answer as an integer or as a decimal rounded to the nearest tenth.
m²

Explanation:

Step1: Calculate semi - perimeter

Let \(a = 27\), \(b = 24\), \(c = 47\). The semi - perimeter \(s=\frac{a + b + c}{2}=\frac{27+24 + 47}{2}=\frac{98}{2}=49\).

Step2: Use Heron's formula

The area \(A=\sqrt{s(s - a)(s - b)(s - c)}\). Substitute the values: \(A=\sqrt{49(49 - 27)(49 - 24)(49 - 47)}=\sqrt{49\times22\times25\times2}=\sqrt{7^2\times22\times5^2\times2}=7\times5\sqrt{22\times2}=35\sqrt{44}\approx35\times6.633 = 232.2\).

Answer:

\(232.2\)