Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Toby and his dad can't wait to take their sailboat, Splash Dancer, out on the water this year! The boat's sail is shaped like a triangle. The bottom edge of the sail is 1212 feet long, and the sail is 1414 feet tall.\newlineWhich equation can you use to find the area of the sail, AA?\newlineChoices:\newline(A)A=12(12)(14)A = \frac{1}{2}(12)(14)\newline(B)A=(12)(14)A = (12)(14)\newlineWhat is the area of the sail?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ square feet\newline

Full solution

Q. Toby and his dad can't wait to take their sailboat, Splash Dancer, out on the water this year! The boat's sail is shaped like a triangle. The bottom edge of the sail is 1212 feet long, and the sail is 1414 feet tall.\newlineWhich equation can you use to find the area of the sail, AA?\newlineChoices:\newline(A)A=12(12)(14)A = \frac{1}{2}(12)(14)\newline(B)A=(12)(14)A = (12)(14)\newlineWhat is the area of the sail?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ square feet\newline
  1. Identify base and height: To find the area of a triangular sail, we use the formula for the area of a triangle, which is 12×base×height\frac{1}{2} \times \text{base} \times \text{height}. Here, the base is 1212 feet and the height is 1414 feet.
  2. Plug in values: Plugging in the values into the formula: A=12×12×14A = \frac{1}{2} \times 12 \times 14.
  3. Calculate area: Calculating the area: A=12×12×14=12×168=84A = \frac{1}{2} \times 12 \times 14 = \frac{1}{2} \times 168 = 84 square feet.

More problems from Area of quadrilaterals and triangles: word problems