Question

the diagonal of quadrilateral shape file is 24m and the perpendicular dropped on it from the remaining opposite vertices and 8m and 13 and find area of the file​

Answer 1

Answer:

Area of the field

= Area of upper triangle + Area of Lower triangle

=21×13×24+21×8×24

=156+96=252 sq m

Answer 2

Given

• Diagonal of quadrilateral = 24m
• Perpendiculars are 8m and 13m
• Area of the shape?

Explanation

We find the Area of the Quadrilateral shape with Using Formula as:-

A quadrilateral is a plane figure that has four sides or edges, and also have four corners or vertices.

$\maltese {\large{\pmb{\boxed{\underline{\sf{ Area_{(Quadrilateral)} = \dfrac{1}{2} \times (H_1+H_2) \times Diagonal }}}}}} \\ \\ \\ \colon\implies{\sf{ Area_{(Quadrilateral)} = \dfrac{1}{2} \times (8+13) \times 24 }} \\ \\ \\ \colon\implies{\sf{ Area_{(Quadrilateral)} = \dfrac{1}{ \cancel{2} } \times (21) \times \cancel{24} }} \\ \\ \\ \colon\implies{\sf{ Area_{(Quadrilateral)} = 21 \times 12 }} \\ \\ \\ \colon\implies{\sf{ Area_{(Quadrilateral)} = 252 \ m^2 }}$

Hence,

• The Area of the Quadrilateral shape file is 252 m².