each unit on the coordinate grid represents 1 yard. the rectangular pool and triangular hot tub shown are…
each unit on the coordinate grid represents 1 yard. the rectangular pool and triangular hot tub shown are both in need of covers. how much total material is needed to cover both? square yards
Answer
Explanation:
Step1: Calculate area of rectangle
Use formula $A = l\times w$. By counting grid - squares, length $l = 6$ yards and width $w = 4$ yards. So $A_{rectangle}=6\times4 = 24$ square yards.
Step2: Calculate area of triangle
Use formula $A=\frac{1}{2}\times b\times h$. Base $b = 2$ yards and height $h = 2$ yards. So $A_{triangle}=\frac{1}{2}\times2\times2= 2$ square yards.
Step3: Calculate total area
Add areas of rectangle and triangle. $A_{total}=A_{rectangle}+A_{triangle}=24 + 2=26$ square yards.
Answer:
26