Question

What is the area of the arrow?

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

Answer 1

The correct option is B $49i{n}^2$


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

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

$=5\times 5$

$=25i{n}^2$

Area of rectangle:

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

$=6\times 4$

$=24i{n}^2$

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