Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket. Given this restriction, what is the maximum possible size of the blanket?

maximum blanket size is;

21cm x 19cm

Step-by-step explanation:

Perimeter of the rectangle is;

P = 2W + 2L

Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket.

Thus;

2W + 2L = 80

Divide both sides by 2 to get;

W + L = 40

We want to find the maximum size of the blanket which is the 2 values that will give the maximum area.

Possible measurement include;

- 21cm x 19cm

- 22 cm x 18 cm

- 23 cm x 17 cm

- 24 cm x 16 cm

Looking at them all, the one with the largest area is 21cm x 19cm

Thus, maximum blanket size is;

21cm x 19cm