Question

1. the area of a triangle is 48 square inches, and its height is 16 inches. find the base of the triangle. 13. the area of a rectangle is 365.2 square meters, and its length is 22 meters. find the width of the rectangle.

Explanation:

Problem 12:

Step1: Recall triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times b \times h$, where $A$ is the area, $b$ is the base, and $h$ is the height. We know $A = 48$ square inches and $h = 16$ inches. We need to solve for $b$.

Step2: Rearrange the formula to solve for $b$

Starting with $A = \frac{1}{2} \times b \times h$, multiply both sides by 2 to get $2A = b \times h$. Then divide both sides by $h$ to obtain $b = \frac{2A}{h}$.

Step3: Substitute the known values

Substitute $A = 48$ and $h = 16$ into the formula: $b = \frac{2 \times 48}{16}$.

Step4: Calculate the value

First, calculate the numerator: $2 \times 48 = 96$. Then divide by 16: $\frac{96}{16} = 6$.

Step1: Recall rectangle area formula

The formula for the area of a rectangle is $A = l \times w$, where $A$ is the area, $l$ is the length, and $w$ is the width. We know $A = 365.2$ square meters and $l = 22$ meters. We need to solve for $w$.

Step2: Rearrange the formula to solve for $w$

Starting with $A = l \times w$, divide both sides by $l$ to get $w = \frac{A}{l}$.

Step3: Substitute the known values

Substitute $A = 365.2$ and $l = 22$ into the formula: $w = \frac{365.2}{22}$.

Step4: Calculate the value

Perform the division: $\frac{365.2}{22} = 16.6$.

Answer:

The base of the triangle is 6 inches.

Problem 13: