The figure below is formed by 8 identical rectangles and 1 triangle. Find the
1 answer:
Answer:
Step-by-step explanation:
Base of triangle = length of the rectangle
Since, all are identical rectangles,
Length of a rectangle= 36/2 = 18 cm
Base of triangle = 18 cm
Height of triangle = length of the rectangle + width of the rectangle
Width of 6 rectangles = 36
Width of 1 rectangle = 36/ 6 = 6 cm
Height of the triangle = 18 + 6 = 24 cm
Area of the shaded triangle =
=
= 9 * 24
= 216 cm²
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He is correct
basically you have
h times base1+h times bsae 2 all divided by 2
that equals
(hb1+hb2)/2
if we undistribute h using distributive property which is ab+ac=a(b+c)
(h)(b1+b2)/2
if you split the trapezoid in half with a horizontal line that passes through the halfway point of the height and take those two shapes and put them side by side and cut the triangles off the ends and add them, you will see why this is true
the reason is becuase you can get to the area formula from that is height times (b1+b2)/2
basically you have
h times base1+h times bsae 2 all divided by 2
that equals
(hb1+hb2)/2
if we undistribute h using distributive property which is ab+ac=a(b+c)
(h)(b1+b2)/2
if you split the trapezoid in half with a horizontal line that passes through the halfway point of the height and take those two shapes and put them side by side and cut the triangles off the ends and add them, you will see why this is true
the reason is becuase you can get to the area formula from that is height times (b1+b2)/2