Question

what is the area of the shaded region?
83 yd
88 yd
54 yd
54 yd
write your answer as a whole number or a decimal rounded to the nearest hundredth.
square yards
submit
work it out
not feeling ready yet? these can help:
61.4·99.6
63.3·35.5
6115.44−2247.15
main
abc
funct
a²
aᵇ
|a|
√
√\
π
sin
cos
tan
( )

Explanation:

Step1: Find area of large triangle

The formula for the area of a triangle is \( A = \frac{1}{2} \times base \times height \). For the large triangle, base = 88 yd, height = 83 yd. So, \( A_{large} = \frac{1}{2} \times 88 \times 83 \). Calculating that: \( \frac{1}{2} \times 88 = 44 \), then \( 44 \times 83 = 3652 \) square yards.

Step2: Find area of small triangle

For the small triangle, base = 54 yd, height = 54 yd. Using the same formula, \( A_{small} = \frac{1}{2} \times 54 \times 54 \). Calculating: \( \frac{1}{2} \times 54 = 27 \), then \( 27 \times 54 = 1458 \) square yards.

Step3: Subtract areas for shaded region

The shaded area is \( A_{large} - A_{small} \). So, \( 3652 - 1458 = 2194 \) square yards.

Answer:

2194