Question

the area of the shape below is 36 cm². what is the value of x? the area of the triangle below is 60 cm². what is the missing value x? rewatch 45cm² 60cm² 24cm² 20cm² the triangle above.

Explanation:

Step1: Recall the formula for the area of a rectangle

The area of a rectangle is \(A = l\times w\). Given the area of the rectangle is \(36\ cm^{2}\) and one side \(l = 18\ cm\), we can find the other side \(w\). Using \(A=l\times w\), we have \(36 = 18\times w\), so \(w=\frac{36}{18}=2\ cm\). This side \(w = 2\ cm\) is the height of the triangle.

Step2: Use the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). The base \(b = 20\ cm\) and height \(h = 2\ cm\). Substitute into the formula: \(A=\frac{1}{2}\times20\times2\). First, \(20\times2 = 40\), then \(\frac{1}{2}\times40=20\ cm^{2}\)

Answer:

\(20\ cm^{2}\)