Question

ASAP please. Not understanding

Answer 1

Bryan has 180 feet of fencing. he use the wall for one side of fencing

So he has to fence only 3 sides

he has to fence bottom side + left side+  right side of the wall

Let x be the width of the garden

Let y be the length

Perimeter of the garden = length + width + width

180 = y +x +x

180 = y+2x

so y = 180 - 2x

(a) Area of rectangle = Length * width

Area = y * x

Area = (180 -2x)* x

so area of the garden = -2x^2 +180x

(b)To find dimension to create largest are we find x coordinate of the vertex

formula is $x= \frac{-b}{2a}$

a= -2 and b = +180

$x= \frac{-180}{2(-2)}= 45$

So width = 45

We know length y = 180 - 2x= 180 - 2(45) = 90

Dimension with greatest area is

Length = 90 feet

width = 45 feet

(c) Greatest area = length * width

= 90 * 45 = 4050 square feet