Question

the length of a diagonal of a quadrilateral is 28 CM the length of a perpendicular on it from opposite vertices are 9 CM 13 cm find area of quadrilateral​

Answer 1

Area of quadrilateral is 308 cm2.

Step-by-step explanation:

Given:

Here the length of a diagonal of a quadrilateral = 28 cm

The length of a perpendicular on it from opposite vertices are 9 cm and 13 cm respectively.

Now,

Area of quadrilateral = $\frac{1}{2}\times$ one diagonal $\times$ sum of the lengths of the perpendicular drawn from it on the remaining two vertices

                                   = $\frac{1}{2}\times 28 \times (9+13)$

                                   = $\frac{1}{2}\times 28 \times 22$

                                   = $28 \times 11$

                                   = 308 $cm^2$

Hence area of quadrilateral is 308 $cm^2$.

Answer 2

Answer:

1/2 (9+13)×28

1/2×22×28

28×11

308 cm square

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