Question

find the value of $x$ to the nearest tenth.

Explanation:

Step1: Calculate the area of the right - angled triangle

The area formula for a right - angled triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base is \(5\) and the height is \(6\), so \(A=\frac{1}{2}\times5\times6 = 15\).

Step2: Use the area formula for the parallelogram

The area formula for a parallelogram is \(A = base\times height\). Let the base of the parallelogram be \(x\) and the height be \(8\). Since the area of the parallelogram is equal to the area of the right - angled triangle (they are related in the figure), we have the equation \(15=x\times8\).

Step3: Solve for \(x\)

From \(15 = 8x\), we can solve for \(x\) by dividing both sides of the equation by \(8\). So \(x=\frac{15}{8}=1.875\approx1.9\).

Answer:

\(1.9\)