How do you find the area of a trapezoid?

Mathematics

1 answer:

Anika [276]2 years ago

4 0

In it, a trapezoid has a bottom base(B) and a top base(b) and it has a height(h)

The formula is : $\frac{a+b}{2}*h$

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Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9

amm1812

3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3
k = -3 ← simplest form

8 0

3 years ago

Polygon ABCD is a rectangle what is the area

Andre45 [30]

Solution:

As, You have Written Polygon ABCD is a rectangle.

It is a Four sided Polygon , having all it's interior angles equal to 90°.As well as Opposite sides are equal(AB=CD,AD=BC), equal diagonals(AC=B D).

Join any of the diagonal of Rectangle either AC or B D.

In Right Δ ABC , Right angled at B

${\text{Area (Right triangle ABC)}} =\frac{1}{2}\times AB \times BC$ ---(1)

In Right Δ ADC , Right angled at D

${\text{Area (Right triangle ABC)}} =\frac{1}{2}\times AD \times DC$ ---(2)

Adding (1) and (2) that is LHS to LHS and RHS to RHS

Ar( Δ ABC) +Ar( Δ ADC) $=\frac{1}{2}\times[ AB \times BC+ AD \times DC]\\\\=\frac{1}{2}[2 \times AB \times BC][\text{As, AB=CD, and BC=AD}]\\\\ = AB \times BC$