Question

Hi can you pleas help me I’m stuck on this problem

Answer 1

The figure presented can be divided into 3 smaller shapes to help us calculating the area. Those shapes are

The red and green areas are rectangles, and the blue area is a trapezoid. The area of a rectangle is given by the product between its distinct sides. The green area is

`36*8=288`

The red area is

`4*8=32`

The area of a trapezoid is given by the sum of its distinct basis values, multiplied by the height, and then divided by 2. The smaller base of this trapezoid measures 2 yd, the height is 8 yd, and the bigger base measures 8 yd. The area of the trapezoid is

`((2+8)*8)/(2)=(10*8)/(2)=(80)/(2)=40`

Now, the total area of the figure is the sum of those areas.

`288+32+40=360`

The area of this figure is 360 yd².