Question

Exam-style

A square has a perimeter of (40x + 60) cm..
A regular pentagon has the same perimeter as the square. (40oc +60 cm
Show that the difference between the lengths of the sides of the two shapes is (2x + 3) cm.

Answer 1

See below.

Explanation:

A square has 4 equal sides so the length of one of it's sides

= (40x + 60) / 4

= (10x + 15) cm.

A regular pentagon has 5 equal sides so the length of one of it's sides

= (40x + 60) / 5

= (8x + 10) cm.

So the difference is (10x + 15) - (8x + 12)

= (2x + 3) cm.