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
![= (16)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nte99idgrp5caifa0o32l52mwmjol5rv9p.png)
B = 2cm
Rectangle B dimensions
Length Breath
![B + (3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y5mmmtiu4uwpgezxqa7fsthpngki4ctsut.png)
![2+(3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/h538x96a69kl8j63eq3ouzxw3xyi06woku.png)
![(13)/(5) cm](https://img.qammunity.org/2021/formulas/mathematics/high-school/djqniztvja7gc9f9irp75atymfxeyb6m7j.png)
Rectangle C dimensions
![(13)/(5) +(3)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xpxxg9pqfdybcxzuhjytjch2bdm2u1i6aa.png)
![(16)/(5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q5iju4zkkn6k5hwxt3vvue1obnupbwcl7x.png)
Area of rectangle A
16 / 5 × 2 = 32/5 cm²
Area of rectangle B
![= (19)/(5) * (13)/(5) \\\\=(247)/(25) cm^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/xq687ourvm66ta264nnba6uyhivh298q5x.png)
Area of rectangle C
![(22)/(5) * (16)/(5) \\\\= (352)/(25)](https://img.qammunity.org/2021/formulas/mathematics/high-school/h5a1aol09egvcef0p2b5gm4lnkac079w8b.png)
Total area =
![(32)/(5) + (247)/(25) + (352)/(25) \\\\= 30.36cm^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/zn3q4eym88cvf3r33hi4mbhvq2sv7fc65q.png)