Question

the area of a quadrilateral abcd is 11cm^2 and perpendicular on ac from opposite vertices are 1.5 cm and 2.5 cm find the length of ac

Answer 1

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)→

2

1

×d(a+b)

Here,

(a + b) is the sum of altitudes drawn the from opposite vertices.

dd is the diagonal.

From the given dimensions :

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

2

1

×5.5×(1.5+2.5)

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

2

1

×5.5×4.0

\to 5.5 \times 2.0→5.5×2.0

\to 11.0→11.0

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

Area of the quadrilateral idiom

2

.

Step-by-step explanation:

hope it is helpful for you