Question

What is the area of the arrow?

• A. $42$ in${}^2$
• B. $47$ in${}^2$
• C. $49$ in${}^2$
• D. $50$ in${}^2$

Answer 1

The correct option is C $49$ in${}^2$


Break down the composite figure into simple and familiar shapes.

The given arrow can be seen as a combination of a triangle and a rectangle.

Area of the triangle:

Area of a triangle $=\frac{1}{2}\times$ base $\times$ height

$=\frac{1}{2}\times 10\times 5$

$=5\times 5$

$=25$ in${}^2$

Area of rectangle:

Area of a rectangle $=$ length $\times$ breadth

$=6\times 4$

$=24$ in${}^2$

Total area of the arrow $=25+24=49$ in${}^2$