Question

Mathematics. Book VI
The length of a rectangle is 2 m less than 4 times its breadth. Write an expres-
sion for the length, if breadth is 'b' metres.​

Answer 1

Step-by-step explanation:

Let x = length of the rectangle

Let y = the breadth of the rectangle

Perimeter is 94 => 2x + 2y = 94 Divide both sides by 2; x + y = 47

The length of a rectangle is 3 M less than 4 times its breadth: x = 4y - 3

Substitute (4y - 3) in for (x) in the equation (x) + y = 47 => (4y - 3) + y = 47

Combine like terms: 5y - 3 = 47

Add three to both sides: 5y = 50

Divide both sides by 5: y = 10 (the breadth)

3 less than 4 times 10 is 37 (the length)

2(10 + 37) = 2(47) = 94 for the perimeter.