Question

On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters. Calculate the area of the arrow by decomposing it into rectangles and triangles.

Answer 1

Answer:

229.5$cm^{2}$

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 $cm^{2}$

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = $\frac{h * b}{2}$

At = $\frac{15cm * 13cm}{2}$

At = $\frac{195cm^{2} }{2}$

At = 97.5$cm^{2}$

Now we simply add both areas together to calculate the total area of the arrow...

132$cm^{2}$ + 97.5$cm^{2}$ = 229.5$cm^{2}$

Answer 2

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