(( i will give 20 points and brainy for right answers ( answer ) ))

(look at image one) 1. which is the area of the figure?

a. 436 square inches

b. 476 square inches

c. 486 square inches

d. 616 square inches

(look at image two) 2. which is the area of the figure?

a. 192 square inches

b. 324 square inches

c. 392 square inches

d. 480 square inches

( answer all ! )

Problem 1.
Think of the outer rectangle by joining the two 5 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 28 in.
The left and right sides measure 5 in. + 12 in. + 5 in. = 22 in.
Area of the outer rectangle = LW = 28 in. * 22 in. = 616 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 15 in. = 180 in.^2

Subtract the areas:
616 in.^2 - 180 in.^2 = 436 in.^2


A. 436 Square Inches

Problem 2.
Do the same thing as for problem 1. Join the two 4 in. segments with a line.

Think of the outer rectangle by joining the two 4 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 24 in.
The left and right sides measure 4 in. + 12 in. + 4 in. = 20 in.
Area of the outer rectangle = LW = 24 in. * 20 in. = 480 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 13 in. = 156 in.^2

Subtract the areas:
480 in.^2 - 156 in.^2 = 324 in.^2


B. 324 Square Inches

put like terms together.orremember that the 45 becomes negative when moved to the other side.orthe minuses cancel out.