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4 yd 6 yd 8 yd 13 yd □ yd²

Question

4 yd
6 yd
8 yd
13 yd
□ yd²

Explanation:

Step1: Calculate area of outer rectangle

The area formula for a rectangle is $A = l\times w$. For the outer rectangle with length $l = 13$ yd and width $w = 8$ yd, the area $A_{outer}=13\times8 = 104$ yd².

Step2: Calculate area of inner rectangle

For the inner rectangle with length $l = 6$ yd and width $w = 4$ yd, the area $A_{inner}=6\times4=24$ yd².

Step3: Calculate the shaded - area

The area of the shaded region is the difference between the area of the outer rectangle and the area of the inner rectangle. So $A = A_{outer}-A_{inner}=104 - 24=80$ yd².

Answer:

80