Question: The shape shown is a wire frame in the form of a large rectangle split by parallel lengths of wire into 12 smaller equal-sized rectangles.

The shape shown is a wire frame in the form of a large rectangle split by parallel lengths of wire into 12 smaller equal-sized rectangles.

a. Given that the total length of wire used to complete the whole frame is 1512 mm, show that the area of the whole shape, A mm², is given by the formula

A = 1296x 108.x 7

where x mm is the width of one of the smaller rectangles.

b. Hence find the maximum area which can be enclosed in this way.

A = 1296x 108.x 7

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