Question

23. Calculate the area of the figure given below :
which is not drawn according to scale.with full explanation​

Answer 1

Answer:

$630cm {}^{2}$

Step-by-step explanation:

In the attatchment

HOPE IT HELPS

Answer 2

Answer:

630 cm²

Step-by-step explanation:

Construction - Draw BG ⊥ CE

Solution:

In triangle BCG:

BC² = GB² + GC² [Pythagoras Theorem]

⇒GB² = 26² - (25 - 15)² = 26² - 10²              [CG = EC - EG = EC - AB]

Using a²-b² = (a+b)(a-b)

GB² = (26+10)(26-10) = 36(16)

⇒ GB = 24 cm

∴ar (ABCE) = ar (trapezium) = {(Sum of parallel sides)height}/2

= {(15+25)24}/2 = 40(24)/2 = 480 cm²

ar (Δ CDE) = (b.h)/2 = 150 cm²

∴Ar (ABCDE) = ar (ABCE) + ar (Δ CDE)

= 480 + 150 = 630 cm²