Answer:
Step-by-step explanation:
1) 5(2x + 3) + 3(x -4) = 25
Use distributive property
5*2x + 5 *3 + 3*x - 3*4 = 25
10x + 15 + 3x - 12 = 25
Add like terms
10x + 3x +15 - 12 = 25
13x + 3 = 25
Subtract 3 form both sides
13x = 25 - 3
13x = 22
x = 22/13
x = [tex]1\frac{9}{13}[/tex]
2) Breadth = b m
Length = 5b - 4
Perimeter of rectangle = 40 m
2*(length + breadth) = 40 { Plug in the values of breadth & length}
2* (5b - 4 + b) = 40
2 * ( 6b - 4 ) = 40
2*6b - 2 *4 = 40
12b - 8 = 40 { add 8 to both sides}
12b - 8 + 8 = 40 + 8
12b = 48 { divide both sides by 12}
12b/12 = 48/12
b = 4 m
Breadth = 4m
Length = 5*4 - 4 = 20 - 4 = 16 m
