3 years ago

Which one is correct?

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

520 + 480 = 1000 and 480/6 = 80

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