Question

BD = 12cm AE = 8cm CF = 5cm. find the area of quadrilateral​

Answer 1

Answer ⤵️

In Quad. ABCD.

Given,

BD = 12cm

AE = 8cm

CF = 5cm

Area of quadrilateral= Area of ∆ ADB+Area of ∆BCD

In ∆ ADB

AE is the height of ∆ADB.

DB is the base of ∆ ADB.

Area of ∆ADB= 1/2×DB×AE

= 1/2×12×8

= 6×8

= 48 cm².

In ∆BCD

CF is the height of ∆ BCD

BD is the base of ∆ BCD

Area of ∆BCD= 1/2×BD×CF

= 1/2×12×5

= 6×5

= 30 cm².

.

. . Area of quadrilateral= Area of ∆ ADB+Area of ∆BCD.

=> 48+30cm²

=> 78 cm²

Hence, Area of quadrilateral is 78cm².

Step-by-step explanation:

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