Question

What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is________cm².

Answer 1

♧♧HERE IS YOUR ANSWER♧♧

(SEE THE ATTACHMENT)

From the given figure, we assume a quadrilateral AGCD.

We consider :

a square □ABFG (Each sides being 6 cm),

a rectangle BFEC (length and width are 7 cm and 6 cm respectively)

and

a triangle ΔCED (base = 8 cm and height = 6 cm).

Now, the area of □ABFG square

p = 6 × 6 cm² = 36 cm²,

the area of BFEC rectangle

q = length × width = 7 × 6 cm² = 42 cm²

and

the area of ΔCED

r = (1/2)(base × height) = (1/2)(8 × 6) cm² = 24 cm²

Therefore, the area of the given quadrilateral is

= p + q + r

= (36 + 42 + 24) cm²

= 102 cm²

♧♧HOPE THIS HELPS YOU♧♧