The length of a rectangular flower bed is 3 feet less than its width. The area of the flower that is 70 ft.² find the dimensions of the flower bed

The dimensions of the flowerbed is 7 ft by 10 ft

Step-by-step explanation:

Firstly, Let's assign variables.

Let the length of the flower bed be l while the width of the flower bed be w.

From the question, we know that the length is 3ft less than the width. Mathematically, this can be expressed as an equation as follows;

 w = l + 3 .............................(i)

The area of the bed is 70 ft.² What this means is that the product of the length and width of the bed is 70 ft.²

Mathematically;

l × w = 70 ................................(ii)

Now substitute i into ii

⇒ l × (l + 3) = 70

since length cannot be negative, we only take the value of l = 7

From (i), we know that w = l + 3

substituting l = 7 here, we have w = 7+3 = 10

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.