Introduction to square root equations.

a teacher wants to make a classroom quilt as a gift to her principal. there are 36 students in her class, and each student will decorate a fabric square. before handing out fabric pieces to students, she measured the wall space available to be sure the principal has enough wall space for a hanging quilt.

a. if the width of the quilt is w feet, what function gives the area the completed quilt?

b. using your function for part (a), what function gives the side length of each tile as a function of the area of the tabletop?

c. based on her measurements, the teacher determined that students will be able to make a quilt with that is 6 meters. next time, however, she’d like to make one as a keepsake to bring home for her own wall. since she has more wall space, she wants the next one to be 9 square meters. by what amount will she need to increase the length of the quilt blocks?