Question

Earn points, answer both questions!

Answer 1

the area of the five squares is 1289.09 square units

the perimeter is 194.6 units

Answer 2

Area of five squares = 1289.09 square units

Perimeter = 194.6 units

Explanation:

Area of square and perimeter:

First find the length of each square, then find the area of each square.

To find the area of five squares, add all the area of each square.

Side of square1 = 27 units

`\sf Side \ of \ square2 = (2)/(3)*27=2*9 = 18 \ units\\\\Side \ of\ square3= (2)/(3)*18=2*6=12 \ units\\\\Side \ of \ square4=(2)/(3)*12=2*4=8 \ units\\\\Side \ of \ square5=(2)/(3)*8=(16)/(3)=5.3 \ units`

Area of square1 = 27*27 = 729 square units

Area of square2 = 18*18 = 324 square units

Area of square3 = 12*12 = 144 square units

Area of square4 = 8*8 = 64 square units

Area of square5 = 5.3*5.3 = 28.09 square units

Area of five squares = 729 + 324 + 144 + 64 +28.09

= 1289.09 square units

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Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)

= 90 + 42 + 28 + 18.7 + 15.9

= 194.6 units