The dimensions of the kitchen are 11m × 8m.
In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.
A rectangle has four equal-sized angles. There are four angles in a rectangle.
A rectangle has 90° angles on all sides.
The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.
Let l and w represent the length and breadth of the rectangular kitchen, respectively.
we know that area of a rectangle = length × width
perimeter of a rectangle = 2(l ₊ b)
Given that the rectangular kitchen has an area of 88 m².
A = 88 m²
l × w = 88 m² ....eq(1)
The perimeter of the rectangle is 38 m.
Perimeter (P) = 38 m
2(l+w) = 38 m
l+w = 19 m
l = 19 - w .....eq(2)
substitute eq(2) in eq(1).
l × w = 88 m²
(19 - w)w = 88
19w - w² = 88
-w²+19w-88 = 0
w²-19w+88 = 0
By factorization method, we get:
w²-11w-8w+88 = 0
w(w-11)-8(w-11) = 0
(w-11)(w-8)
w = 11 or w = 8
If w = 11,
then l = 19-11 = 8m
and If w = 8m
then, l = 19-8 = 11m
so the dimensions are 11m×8m
Hence we get the dimensions of the kitchen are: 11m×8m
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