Question

if diognal of Quadraletral is 12cm and it's offset are 4cm 5cm find it's area​

Answer 1

Bhai plz yaar brainliest mark do

Answer 2

Answer:

Given:-

If diagonal of Quadrilateral is 12cm and it's offset are 4cm, 5cm. Find it's area.

To Find:-

The area of quadrilateral.

Note:-

●》Here, we will first add their both offset/length for area to to be calculated i.e. Area of quadrilateral = $\dfrac{1}{2} × Diagonal \ \ length × Sum \ \ of \ \ their \ \ offset/length$ .

Solution:-

[ First, finding sum of quadrilateral offset/length ]

$\huge\red{Offset/Lengths \ \ are = 4cm, 5cm}$

$\huge\red{ \ \ \ \ Their \ \ sum = ?}$

☆ So~

▪︎$Sum \ \ of \ \ offset/length = 4cm + 5cm$

▪︎$Sum \ \ of \ \ offset/length = 9cm$

$\huge\pink{Sum \ \ of \ \ offset/length = 9cm}$

___________________________________

[ Now, Area ]

$\huge\red{Offset/Length = 9cm, Diagonal \ \ Length = 12cm}$

$\huge\red{ \ \ \ \ Area \ \ of \ \ quadrilateral = ?}$

☆ According to note first point~

▪︎$Area \ \ of \ \ quadrilateral = \dfrac{1}{2} × Diagonal \ \ length × Sum \ \ of \ \ offset/length$

▪︎$Area \ \ of \ \ quadrilateral = \dfrac{1}{2} × 12cm × 9cm$

☆ As cm × cm = cm²~

▪︎$Area \ \ of \ \ quadrilateral = \dfrac{1}{2} × 108cm²$

▪︎$Area \ \ of \ \ quadrilateral = \dfrac{108cm²}{2}$

☆ After dividing~

▪︎$Area \ \ of \ \ quadrilateral = 54cm²$

$\huge\green{Area \ \ of \ \ quadrilateral = 54cm²}$

Answer:-

Hence, the area of quadrilateral = 54cm²

:)