Question

1. the area of a triangle is 126 square - centimeters, and the height is 8 centimeters. what is the base of the triangle?

find the area of the square.
find the area of the parallelogram. round to the nearest tenth.

1. the length of a rectangle is 16.2 inches, and the area of the rectangle is 202.5 square inches. what is the width of the rectangle in inches?
2. the dimensions of a patio shaped like a trapezoid are given in meters. find the area of the trapezoid in square meters?
3. a right rectangular prism with a square base is shown. the volume of the prism is 325 square units. what is the height, h, of the prism?

Explanation:

Step1: Identify the problem about triangle's base

We know the area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is area, $b$ is base and $h$ is height. We are given $A = 126$ square - centimeters and $h = 18$ centimeters.

Step2: Rearrange the formula to solve for the base

From $A=\frac{1}{2}bh$, we can get $b=\frac{2A}{h}$.

Step3: Substitute the given values

Substitute $A = 126$ and $h = 18$ into the formula $b=\frac{2A}{h}$. So $b=\frac{2\times126}{18}$.

Step4: Calculate the value of the base

$2\times126 = 252$, and $\frac{252}{18}=14$ centimeters.

Answer:

14 centimeters