Question

The area of a triangular garden can be no more than 120 square feet. The base of the triangle is 16 feet. What is the height of the triangle?
show your work

Answer 1

Elena’s backyard is in the shape of a rectangle. She created a triangular-shaped flower bed (shown as the shaded region) to plant flowers in.

Answer:

The area of the triangular flower bed is 125 square feet. The area of her backyard that does not include the flower bed is 575 square feet.

Step-by-step explanation:

$AreaOfTriangle$

$\left[\begin{array}{ccc}A =\frac{H_{b} B}{2}\end{array}\right]$

$\left[\begin{array}{ccc}A =\frac{H_{b} B}{2} = \frac{10*25}{2}\end{array}\right]$

$\left[\begin{array}{ccc}\frac{10*25}{2}=125 \end{array}\right]$

$AreaOfSquare$

$\left[\begin{array}{ccc}A=LW\end{array}\right]$

$\left[\begin{array}{ccc}A=LW=35*20\end{array}\right]$

$\left[\begin{array}{ccc}35*20\\=700\end{array}\right]$

$\left[\begin{array}{ccc}700-125\\=575\end{array}\right]$

Answer 2

The height is 15 feet.

0.5xbxh<_120 (equate formula for area of triangle to 120)

0.5x16xh<_120

16xh<_240 (120 divided by 0.5)

h<_15 (240 divided by 16)