60.1k views
2 votes
Some wire is used to make 3 rectangles: A, B, and C. Rectangle B's dimensions are 3 5 cm larger than Rectangle A's dimensions, and Rectangle C's dimensions are 3 5 cm larger than Rectangle B's dimensions. Rectangle A is 2 cm by 3 1 5 cm

User Creanion
by
4.7k points

2 Answers

5 votes

Answer: there is 1 3/5 cm of wire left.

User Koguro
by
5.1k points
5 votes

Answer:

Some wire is used to make 3 rectangles: A, B, and C. Rectangle 's dimensions are 3 cm larger than Rectangle A's dimensions, and Rectangle C's dimensions are cm larger than Rectangle B's dimensions. Rectangle A is 2 cm by 3 cm. a. What is the total area of all three rectangles?

The answer is 30.36cm²

Explanation:

Rectangle A dimensions


L = 3(1)/(5) cm
= (16)/(5)

B = 2cm

Rectangle B dimensions

Length Breath


L + (3)/(5)
B + (3)/(5)


(16)/(5) +(3)/(5)
2+(3)/(5)


(19)/(5)cm
(13)/(5) cm

Rectangle C dimensions


(19)/(5) +(3)/(5)
(13)/(5) +(3)/(5)


(22)/(5)
(16)/(5)

Area of rectangle A

16 / 5 × 2 = 32/5 cm²

Area of rectangle B


= (19)/(5) * (13)/(5) \\\\=(247)/(25) cm^2

Area of rectangle C


(22)/(5) * (16)/(5) \\\\= (352)/(25)

Total area =


(32)/(5) + (247)/(25) + (352)/(25) \\\\= 30.36cm^2

User Steve Kennedy
by
4.5k points