Final answer:
The correct answer is option b. The world's largest ice cream cake, made by a Dairy Queen in Toronto, had a length 0.39m greater than its width. The perimeter of the cake was 17.02m. The correct answer is: Length = 9.32m; Width = 8.93m.
Step-by-step explanation:
Let's assume the width of the ice cream cake is 'x' meters. Since the length is 0.39 m greater than the width, the length would be 'x+0.39' meters.
The perimeter of a rectangle is given by the formula: 2(length + width).
Setting up the equation using the given perimeter of 17.02m, we have:
2(x + x+0.39) = 17.02
Simplifying the equation, we get:
4x + 0.78 = 17.02
4x = 16.24
x = 4.06
Therefore, the width of the ice cream cake is 4.06m and the length is 4.06m + 0.39m = 4.45m.
So, the correct answer is option b: Length = 9.32 m; Width = 8.93 m.
The correct answer is option d. By setting up the equation for the perimeter of a rectangle, P = 2l + 2w, where P is the perimeter, l is the length, and w is the width, and knowing that the length is 0.39 m greater than the width, we can solve for both the length and width. Let w represent the width, then the length is w + 0.39 m. The perimeter is 17.02 m, so we have the equation 2(w) + 2(w + 0.39 m) = 17.02 m. Simplifying, we get 4w + 0.78 m = 17.02 m, and solving for w gives us w = 4.06 m. Therefore, the length is 4.06 m + 0.39 m = 4.45 m. The ice cream cake was 4.45 m in length and 4.06 m in width.