Answer:
51ft^2
Step-by-step explanation:
Given data
Side of square patio= 9ft
Area= 9*9= 81 ft^2
New length = 9+3= 12ft
New Widht = 9+2= 11ft
New Area= 12*11
New Area= 132ft^2
Hence the area added is
=132-81
=51ft^2
The 51 square feet area will be added to the patio if the length is increased by 3 feet and the width is by increased 2 feet, Option fourth is correct.
It is given that steve has a square patio with a side length of 9 feet he plans to enlarge it to a rectangular patio by increasing the length by 3 feet and the width by 2 feet.
It is required to find how many square feet in the area will be added.
In mathematics, the area is the space occupied by the 2-dimensional figure or surface.
We know the formula for finding the area of square 'A'
[tex]\rm A= a^{2}[/tex] where a is the length of the side.
We have a = 9 feet
[tex]\rm A= 9^2\\\rm A= 81 \ Feet^2[/tex]
Increasing the length by 3 feet and the width by 2 feet respectively, wet get:
L = 9+3 ⇒ 12 Feet
W = 9+2 ⇒ 11 Feet, Where L is the length and W is the width of the rectangle.
Area of rectangle = L×W
Area of rectangle = 12×11
Area of rectangle = 132 [tex]\rm Feet^2[/tex]
The area which will be added = (Area of rectangle) - (area of square)
The area which will be added = (132) - (81)
The area which will be added = 51 [tex]\rm Feet^2[/tex]
Thus, the 51 square feet area will be added to the patio.
Learn more about the area here:
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