10. nikkis backyard is in the shape of a rectangle. the length is 27 feet. the width is one - third the…

10. nikkis backyard is in the shape of a rectangle. the length is 27 feet. the width is one - third the length plus 4 feet. write and evaluate an expression to find the area of nikkis backyard.

10. nikkis backyard is in the shape of a rectangle. the length is 27 feet. the width is one - third the length plus 4 feet. write and evaluate an expression to find the area of nikkis backyard.

Answer

Explanation:

Step1: Find the width

The length ( l = 27 ) feet. The width ( w=\frac{1}{3}l + 4 ). Substitute ( l = 27 ) into the formula for ( w ): ( w=\frac{1}{3}\times27+4 ) ( w = 9 + 4=13 ) feet.

Step2: Find the area of the rectangle

The area formula for a rectangle is ( A=l\times w ). Substitute ( l = 27 ) and ( w = 13 ) into the formula: ( A=27\times13=(30 - 3)\times13=30\times13-3\times13=390-39 = 351 ) square - feet.

Answer:

The area of Nikki's backyard is ( 351 ) square - feet.