Question

directions: calculate the area of each figure. show all work #1 15in 40in area: __ #2 6m 8m area: #3 2.8cm 5.6cm area: #4 4.5m 12m area: #5 2.7in 5.4in area: #6 21.1m 6.8m area: __

Explanation:

Step1: Recall 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: Solve for triangle #1

For the first triangle with $b = 40$ in and $h=15$ in, $A_1=\frac{1}{2}\times40\times15= 300$ in².

Step3: Solve for triangle #2

For the second triangle with $b = 8$ m and $h = 6$ m, $A_2=\frac{1}{2}\times8\times6=24$ m².

Step4: Solve for triangle #3

For the third triangle with $b = 5.6$ cm and $h=2.5$ cm, $A_3=\frac{1}{2}\times5.6\times2.5 = 7$ cm².

Step5: Solve for triangle #4

For the fourth triangle with $b = 4.5$ m and $h = 12$ m, $A_4=\frac{1}{2}\times4.5\times12=27$ m².

Step6: Solve for triangle #5

For the fifth triangle, assuming the base $b = 5.4$ in and height $h = 2.7$ in, $A_5=\frac{1}{2}\times5.4\times2.7 = 7.29$ in².

Step7: Solve for triangle #6

For the sixth triangle, assuming the base $b = 6.8$ m and height $h = 21.1$ m, $A_6=\frac{1}{2}\times6.8\times21.1=71.74$ m².

Answer:

Triangle #1: 300 in²
Triangle #2: 24 m²
Triangle #3: 7 cm²
Triangle #4: 27 m²
Triangle #5: 7.29 in²
Triangle #6: 71.74 m²