Tuckers bedroom is a rectangle that measures 3 1/3 yards by 4 1/2 yards. his dad buys two area rugs that each has a length of 4 yards. one rug has an area of 16 square yards. the other is 12 square yards. which rug will fit tucker's room? a length of 4 yards. one rug has an area of 16 square yards. the other is 12 square yards. which rug will fit tucker's room?

Step-by-step explanation:we have 2 area rugs, and each has a length of 4 yards

Rug 1 has a area of 16 square yards, meaning that the width is also 4 yard(L*w=16, where Length=4)

Rug 2 has a Length of L=4 but the area is just 12 square yards, so here we have the width of 3 yards (12/4=3)

the rug number 2 will fit in tucker's bedroom

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.