Find the area of the following shape. You must show all work to receive credit.

13cm squared

Step-by-step explanation:

Area of a trapezium=1/2(a+b)*h

=1/2(3+6)*2

=9

Area of a triangle=1/2b*h

=(1/2*4)*2

=4

Total area =9+4

=13

The area of the following shape is 12

Step-by-step explanation:

Let's divide it into three shapes:i) a right triangle formed with x & y axis of 2nd quadrant , which's leg is 4 & height is 4 so the area of that triangle is 4×4/2 = 8

ii) Now let's form a right triangle with y axis of 1st quadrant. Which's leg is 2 & height is (4-2)=2. So the area of this triangle is 2×2/2 = 2

iii) finally, let's form a rectangle with x & y axis of 1st quadrant. Which's length is 2 & side is 1. So the area of the rectangle is = 2×1 = 2

Now add i) ,ii) & iii) to get the final equation: 8+2+2= 12

Hope it helps <3

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.

it is 570

step-by-step explanation: