21 The square below Is made up of 4 identical rectangles. The perimeter of each rectangle is 40 cm. What is the area of the square? 40-4 YORY (00 10 40 40 &00 L002 peruinet u dy tw sana a0cn per mieteretttB ar Batens CrB C30 t 30 t30130) fo L00 Answer: cm

Answer:The area of the square is 256 centimeter square. Step-by-step explanation:Given : The square is made up of 4 identical rectangles. The perimeter of each rectangle is 40 cm. To find : What is the area of the square?Solution : 4 identical rectangle having perimeter of 40 cm.Let a be the length and b be the width of the rectangle,.i.e. [tex]P=40[/tex][tex]2(a+b)=40[/tex][tex]a+b=20[/tex] ....(1)Total width of the square form is b+b+b+b=4bIn square the side length is given by a=4bSubstitute in (1),[tex]4b+b=20[/tex][tex]5b=20[/tex][tex]b=4[/tex]i.e. a=4(4)=16 The length of the square is given by l=16The area of the square is [tex]A=l^2[/tex][tex]A=16^2[/tex][tex]A=256\ cm^2[/tex]Therefore, The area of the square is 256 centimeter square.