Question

what is the area of this figure?
write your answer using decimals, if necessary.
square yards
submit
work it out

Explanation:

Step1: Calculate the area of the triangle

The base of the triangle is \(5 + 3+4=12\) yd and the height is \(11\) yd.
The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\).
So, \(A_1=\frac{1}{2}\times12\times11 = 6\times11=66\) square yards.

Step2: Calculate the area of the first rectangle

The dimensions of the first rectangle are \(5\times3\).
Using the formula \(A = length\times width\), \(A_2=5\times3 = 15\) square yards.

Step3: Calculate the area of the second rectangle

The dimensions of the second rectangle are \(13\times4\).
Using the formula \(A = length\times width\), \(A_3=13\times4=52\) square yards.

Step4: Sum up the areas

The total area \(A=A_1 + A_2+A_3\).
\(A=66 + 15+52\)
\(A=133\)

Answer:

\(133\)