Question

find the area of the shaded region below. (assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.)
enter an exact number.
18 mm
15 mm
10 mm
19 mm

Explanation:

Step1: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the larger rectangle with length \(19\) mm and width \(15\) mm, the area \(A_1=19\times15 = 285\) \(mm^{2}\).

Step2: Calculate the area of the smaller rectangle

For the smaller rectangle with length \(10\) mm and width \((19 - 18)=1\) mm, the area \(A_2 = 10\times1=10\) \(mm^{2}\).

Step3: Calculate the area of the shaded region

The area of the shaded region \(A=A_1 - A_2\). Substitute \(A_1 = 285\) \(mm^{2}\) and \(A_2 = 10\) \(mm^{2}\) into the formula, we get \(A=285- 10=275\) \(mm^{2}\).

Answer:

\(275\)