what is the area of this figure?\nwrite your answer using decimals, if necessary.\nsquare yards
what is the area of this figure?\nwrite your answer using decimals, if necessary.\nsquare yards
Answer
Explanation:
Step1: Calculate the area of the rectangle
The formula for the area of a rectangle is (A = l\times w). For the vertical rectangle: (l = 8) yd, (w=2) yd. So (A_1=8\times2 = 16) square yards. For the horizontal part (composed of rectangles): The length of the combined horizontal - like shape: (3 + 6+4=13) yd, width (w = 5) yd. So (A_2=13\times5=65) square yards.
Step2: Calculate the area of the triangle
The formula for the area of a triangle is (A=\frac{1}{2}\times b\times h). Here (b = 4) yd, (h = 4) yd. So (A_3=\frac{1}{2}\times4\times4=8) square yards.
Step3: Sum up the areas
The total area (A=A_1 + A_2+A_3). (A=16 + 65+8) (A = 89) square yards.
Answer:
(89)