SOLUTION: the length of a room exceeds its breadth by 3m. if both, the length and the breadth are increased by 1m, then the area of the room is increased by 18m^2. find the length and breadt

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Question 805529: the length of a room exceeds its breadth by 3m. if both, the length and the breadth are increased by 1m, then the area of the room is increased by 18m^2. find the length and breadth of the room
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Most of this is translating description into numeric symbols and relationships.

x = length
y = breadth
A = area using x and y
.
x=y%2B3, and xy=A, and conclude here that %28y%2B3%29y=A

Condition of x%2B1 and y%2B1, the dimension size increase:
%28x%2B1%29%28y%2B1%29=A%2B18
Remember that we understood from given, x=y%2B3.
%28y%2B3%2B1%29%28y%2B1%29=A%2B18

This set of equations lets you solve for either A or y:
y%28y%2B3%29=A and %28y%2B4%29%28y%2B1%29=A%2B18

WHAT NOW TO DO:
Solve each of those for A, and then equate the formulas. Solve for y. Use the value to solve for x.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

the length of a room exceeds its breadth by 3m. if both, the length and the breadth are increased by 1m, then the area of the room is increased by 18m^2. find the length and breadth of the room

Length: highlight_green%2810%29 m

Breadth: highlight_green%287%29 m

You can do the check!!

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