Question

50 POINTS AND BRAINLIEST! What is the area of this figure?

Answer 1

Answer:

42 square units.

Step-by-step explanation:

This figure is made up of a rectangle plus 2 triangles either side of the rectangle.

Counting the squares between the points:

Triangle 1 = 1/2 * 7 * 2 = 7 sq units.

Triangle 2  has the same area 1/2 * 7 * 2 = 7 sq. units.

The rectangles has area 4 *7 = 28 sq units.

Total area = 28 + 2*7

= 42 sq. units (answer).

Answer 2

Answer:

42 units²

Step-by-step explanation:

The figure is composed of a rectangle ( middle section) and 2 triangles with the same length base and height

Area of rectangle = 7 × 4 = 28 units²

Area of 2 triangles = 2 × $\frac{1}{2}$ × 7 × 2 = 14 units²

Area of figure = 28 + 14 = 42 units²