Question

a rectangular region is removed from another rectangular region to create the shaded region shown below. find the area of the shaded region. 11 yd 7 yd 4 yd 8 yd

Explanation:

Step1: Calculate area of outer rectangle

The formula for the area of a rectangle is $A = l\times w$. For the outer rectangle with length $l = 11$ yd and width $w = 8$ yd, $A_{outer}=11\times8 = 88$ yd².

Step2: Calculate area of inner rectangle

For the inner rectangle with length $l = 7$ yd and width $w = 4$ yd, $A_{inner}=7\times4=28$ yd².

Step3: Calculate area of shaded region

The area of the shaded region $A$ is the area of the outer - rectangle minus the area of the inner rectangle. So $A = A_{outer}-A_{inner}=88 - 28=60$ yd².

Answer:

60