Question

The length of a rectangle is 5cm more than than its breath The perimeter of the rectangle is 46cm. Find the length and breath. Let the breath be b cm​

Answer 1

Length = 14cm

Breadth ( AKA Width) = 9cm

Explanation:

1) Address the facts

(L)Length = b + 5

(W)Width = b

(P)Perimeter = 46cm

= 2(b + 5 +b)

= 2(2b + 5) 2)Simplify the equation

3) Make b the SOTF (subject of the formula)

46 = 2(2b + 5)

46 = 4b + 10 3a) Simplify further

36 = 4b 3b) Minus 10 on both sides

9 = b

\____ 3c) Divide by 4 on both sides to get JUST b

4) Substitute aka replace the letters with numbers

L = b + 5

= 9 + 5

= 14cm

W = b = 9cm

Therefore the breadth(/width) is 9cm and the length is 14cm :)