Question

Area of a quadrilateral whose diagonal measures 5.5cm and altitudes drawn from opposite vertices on it are 1.5 cm and 2.5 cm is​

Answer 1

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Answer 2

Answer:

Area of the quadrilateral is 11cm.

Step-by-step explanation:

Given dimensions of the quadrilateral :

➪ Diagonal = 5.5cm

➪ Altitudes drawn from the opposite vertices = 1.5cm and 2.5cm.

To find :

The area of the quadrilateral.

Area of a quadrilateral is given by :

$\to \dfrac{1}{2} \times d(a + b)$

Here,

• (a + b) is the sum of altitudes drawn the from opposite vertices.
• $d$ is the diagonal.

From the given dimensions :

$\to \dfrac{1}{2} \times 5.5 \times (1.5 + 2.5)$

$\to \dfrac{1}{2} \times 5.5 \times 4.0$

$\to 5.5 \times 2.0$

$\to 11.0$

$\therefore {\underline{\bf{Area \: of \: the \: quadrilateral \: is \: 11cm^2.}}}$