1997 PMWC Problems/Problem I11

Problem

A rectangle ABCD is made up of five small congruent rectangles as shown in the given figure. Find the perimeter, in cm, of ABCD if its area is $6750 cm^2$ .

Solution

Let l and w be the length, and width, respectively, of one of the little rectangles.

$3w=2l$

$l=\dfrac{3}{2}w$

$6750=\dfrac{15}{2}w^2$

$w=30$

$l=45$

The perimeter of the big rectangle is

$2(w+l)+6w=330$

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1997 PMWC Problems/Problem I11

Problem

Solution