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 14 yd 3 yd 6 yd

Explanation:

Step1: Calculate area of outer rectangle

The area formula for a rectangle is $A = l\times w$. For the outer rectangle with length $l = 14$ yd and width $w = 6$ yd, the area $A_{outer}=14\times6 = 84$ yd².

Step2: Calculate area of inner rectangle

For the inner rectangle with length $l = 11$ yd and width $w = 3$ yd, the area $A_{inner}=11\times3=33$ yd².

Step3: Calculate area of shaded region

The area of the shaded region $A_{shaded}=A_{outer}-A_{inner}$. So $A_{shaded}=84 - 33=51$ yd².

Answer:

51 yd²