They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

3 0

3 years ago

A 100 - foot fence is used to enclose a rectangular land plot. If the area of the land plot is 456 square feet, which equation c

quester [9]

Answer:

$x^2-50x+456=0$

Step-by-step explanation:

GIVEN: A $100\text{ foot}$ fence is used to enclose a rectangular land plot. If the area of the land plot is $456\text{ feet}^2$ .

TO FIND: equation to determine the length $x$ of the land plot.

SOLUTION:

total length of fence $=100\text{ foot}$

let the width of land plot be $y$

perimeter of plot $=2(x+y)=100$

$x+y=50$

area of rectangular plot $=\text{length}\times\text{breadth}$

$xy=456$

$y=\frac{456}{x}$

putting value of $y$

$x+\frac{456}{x}=50$

$x^2-50x+456=0$

Hence required equation to get length $x$ of land plot is $x^2-50x+456=0$

on solving

$x=38,12$

possible length of land plot is $38\text{ foot}$ and $12\text{ foot}$

6 0

3 years ago