Question

find the area of the figure below, formed from a triangle and a rectangle, in square millimeters. 2 mm 25 mm 15 mm 20 mm 200 square millimeters 175 square millimeters 350 square millimeters 325 square millimeters

Explanation:

1. First, find the area of the rectangle:

• The formula for the area of a rectangle is \(A_{rect}=l\times w\). Here, the length \(l = 20\) mm and the width \(w = 2\) mm. So, \(A_{rect}=20\times2=40\) square - millimeters.

1. Then, find the area of the triangle:

• The formula for the area of a triangle is \(A_{tri}=\frac{1}{2}\times b\times h\). The base \(b = 20\) mm and the height \(h = 15\) mm. So, \(A_{tri}=\frac{1}{2}\times20\times15 = 150\) square - millimeters.

1. Finally, find the area of the composite - figure:

• The area of the figure formed by the rectangle and the triangle is \(A = A_{rect}+A_{tri}\).
• \(A=40 + 150=190\) square - millimeters. But since this is not in the options, let's assume the rectangle has length \(l = 15\) mm and width \(w = 2\) mm (\(A_{rect}=15\times2 = 30\) square - millimeters), and the triangle has base \(b = 20\) mm and height \(h = 15\) mm (\(A_{tri}=\frac{1}{2}\times20\times15=150\) square - millimeters). Then \(A=30 + 150 = 175\) square - millimeters.

Answer:

175 square millimeters