Question

What's the area of the composite figure?

Answer 1

`\huge\boxed{\bf\: 83 \: yd^(2)}`

Explanation:

Consider rectangle ABCD.

Here,

AB = DC = 9 yd (length = l)

AD = BC = 7 yd (width = w)

Area of this rectangle:

= l * b

= 9 * 7

= 63 yd²

`\rule{150pt}{2pt}`

Now, take rectangle DEGF.

Here,

DE = FG = 5 yd (length = l)

DF = EG = 4 yd (width = w)

Area of this rectangle:

= l * b

= 5 * 4

= 20 yd²

`\rule{150pt}{2pt}`

Total area of the compisite figure:

= Area of rectangle ABCD + Area of rectangle DEGF

= 63 yd² + 20 yd²

= 83 yd²

`\rule{150pt}{2pt}`

• Refer to the attachment for the labelling of the figure.