On a bicycle trail, the city is painting arrows like the one shown below:

Upper pointing arrow with height of 14 and length of 12. Rectangular base of arrow has length of 10 and height of 11. All units are in centimeters.

Calculate the area of the arrow by decomposing it into rectangles and triangles.

128 square centimeters
135 square centimeters
146 square centimeters
168 square centimeters

Split the shape into a triangle and a rectangle.

The base of the triangle is 12 cm.

The heigh of the triangle is the height of the whole shape minus the height of the rectangle, which is: 14-11=3.

We know that the formula for the area of a triangle is 0.5xbxh

Therefore, the area of the triangle is 0.5x12x3 = 18.

NOW, lets work out the area of the rectangle.

The formula for the area of the rectangle is bxh.

= 11*10
= 110.

Now you add the area of the triangle to the area of the rectangle

18+110.

= 128.

andromache andromache · Answer 2 · 2022-01-18T12:10:49+01:00

The area of the arrow by decomposing it into rectangles and triangles is 128 square centimeters.

The calculation is as follows:

The base of the triangle is 12 cm.

The height of the triangle

= 14-11

=3.

Now

The area of a triangle is[tex]0.5\times b\times h[/tex]

Therefore, the area of the triangle is[tex]0.5\times 12\times 3[/tex] = 18.

The formula for the area of the rectangle is [tex]b\times h[/tex]

= 11(10)

= 110.

Now the area should be

= 18+110.

= 128.

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