The diagrams (not drawn to scale) show a rectangular cardboard D and a square E. Riordan cut as many squares E as he could from rectangular cardboard D. The remaining part of the rectangular cardboard D is shown in Figure 1.
- What is the length of FG as shown in Figure 1?
- What is the greatest number of squares E that Riordan could cut from a rectangular cardboard D?
(a)
Number of squares lengthwise
= 23 ÷ 3
= 7 r 2
Length of FG = 2 cm
(b)
Number of squares breadthwise
= 13 ÷ 3
= 4 r 1
Greatest number of squares
= 7 x 4
= 28
Answer(s): (a) 2 cm; (b) 28