Question

which figure has a greater area? 34 in 34 in 36 in 37 in

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Calculate area of blue - triangle

For the blue - triangle with $b = 36$ in and $h = 34$ in, $A_1=\frac{1}{2}\times36\times34= 612$ square inches.

Step3: Calculate area of green - triangle

For the green - triangle with $b = 37$ in and $h = 34$ in, $A_2=\frac{1}{2}\times37\times34 = 629$ square inches.

Step4: Compare the areas

Since $629>612$, the green - triangle has a greater area.

Answer:

The green - colored triangle has a greater area.