The area of the rectangle will be 150 square meters.
<h3>What is an area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that:-
- The length of a rectangle is 5 m longer than its width.
- The perimeter of the rectangle is 50 m.
The area will be calculated as follows:-
From the given condition in the question, we can form two linear equations they are:-
The length of a rectangle is 5 m longer than its width.
L = w + 5
L - w = 5
The perimeter of the rectangle is 50 m.
P = 2 (L + w )
2 ( L+ w ) = 50
L + w = 25
by solving the two equations we will get the values of L and w.
L - w = 5 or w = L - 5
L + w = 25
L + L - 5 = 25
2L = 30
L = 30 / 2
L = 15
Put the value of L in any equation to get w.
L - w = 5
15 - w = 5
w = 10
Now the area of the rectangle will be:-
A = L x w
A = 15 x 5
A = 150 square meters.
Therefore the area of the rectangle will be 150 square meters.
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