As shown in the figure, a rolling gate is supported by a 18cm wide and 80cm long rectangular board, which can support the rolling gate at most______ Cm high

Let the length of rectangle be a, the width be B, the length of diagonal be C, ∵ a = 80cm, B = 18cm, ∵ C = A2 + B2 = 802 + 182 = 82cm

A rolling gate is supported by a 9 cm wide and 40 cm long rectangular board. How many cm high can the rolling gate be supported by this board?

40 cm

As shown in the figure, a large rectangle with a width of 50cm is composed of 10 identical small rectangles. What are the length and width of each small rectangle?

Let each rectangle be xcm in length and YCM in width
X+Y=50
2X = x + 4Y
A: the length is 40cm and the width is 10cm

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