A rectangular red sticker has an area of 48 square millimeters and a perimeter of 28 millimeters. What are the dimensions of the

Question

2 years ago

12

sticker?

1 answer:

Assoli18 [71] · Answer 1 · 2022-06-19T22:06:43+03:00

Answer:

The sticker is 8 millimeters x 6 millimeters

Step-by-step explanation:

A = Lw = 48

P = 2L + 2w = 28

Perimeter:

2L + 2w = 28

2 (L + w) = 28

L + w = 14

L = 14 - w

Subsitute Into Area:

A = Lw = 48

(14 - w)w = 48

14w - w² = 48

(subtract/add 14w - w² to both sides)

0 = w² - 14w + 48

Solve ^

= 8 and = 6

Typically the length is larger, so our answer is

The sticker is 8 millimeters x 6 millimeters

(hopefully this makes sense, have a nice day!)