Question

Calculate the area of this figure.

A. 12.5 square units
B. 14 square units
C. 15 square units
D. 18 square units

Answer 1

B

Explanation:

the figure consists of 4 triangles and a central square

area of triangle is calculated as

A =
`(1)/(2)` bh ( b is the base and h the perpendicular height )

the left an right triangles are congruent as are the top and bottom ones.

area of top / bottom = 2 ×
`(1)/(2)` × 2 × 2 = 2 × 2 = 4 units²

area of left/ right = 2 ×
`(1)/(2)` × 2 × 3 = 2 × 3 = 6 units²

area of central square = 2 × 2 = 4 units²

then

area of figure = 4 + 6 + 4 = 14 units²