Answer:
324 cm²
Step-by-step explanation:
→ Work out perimeter of square
72 + 72 + 72 + 72 = 288
→ Work out the width of the rectangle
288 - (90 × 2) = 108
108 ÷ 2 = 54
→ Work out area of square
72 × 72 = 5184 cm²
→ Work out area of rectangle
90 × 54 = 4860 cm²
→ Minus the areas from each other
5184 cm² - 4860 cm² = 324 cm²
Answer:
C) 324cm²
Step-by-step explanation:
1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)
2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)
3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle
4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)
5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)