Answer: 162 sq. yds.
Step-by-step explanation:
Given : A square that is 5yd on a side is placed inside a rectangle that has a width of 11yd and a length of 17 yd.
Then , Area of rectangle = length x width
= 11 yd x 17 yd = 187 sq. yds.
Area of square = (side)²
= (5 yd)² = 25 sq. yds.
Now , the area of the region inside the rectangle that surrounds the square will be Area of rectangle - Area of square
= 187 sq. yds.- 25 sq. yds.
=162 sq. yds.
Hence, the area of the region inside the rectangle that surrounds the square is 162 sq. yds. .