To calculate: the ratio of the area of the shaded region to the area of the unshaded region. Given information: Length of each side of square is given as s. The shaded region is a triangle having base and height equal to s.

Question

To calculate: the ratio of the area of the shaded region to the area of the unshaded region.  Given information:  Length of each side of square is given as s.  The shaded region is a triangle having base and height equal to s.

zesponderyd · Accepted Answer

Calculation: The ratio of the area of the shaded region to the area of the unshaded region can be derived as, Area of unshaded region =area of square−area of shaded region The area of square, Area=(side)2 Area=(s)2 Area=s2 The area of the shaded region or triangle, Area=12×base×height Area=12×s×s Area=12s2 Area of unshaded region =area of square−area of shaded region Area of unshaded region =s2−12s2 Area of unshaded region =12s2 The ratio of the area of the shaded region to the area of the unshaded region can be derived as, The ratio of area of shaded region: ratio of area of unshaded region =12s2:12s2 =1:1 Therefore, The ratio of the area of the shaded region to the area of the unshaded region is 1:1.

alenahelenash · Accepted Answer

Answer: 1Explanation:To calculate the ratio of the area of the shaded region to the area of the unshaded region, we need to find the areas of both regions.The shaded region is a triangle with a base and height equal to s. The formula for the area of a triangle is given by 12×base×height.Therefore, the area of the shaded region is 12×s×s=12s2.The unshaded region is the remaining area of the square after subtracting the area of the shaded triangle. The area of the square is s×s=s2.So, the area of the unshaded region is s2−12s2=12s2.The ratio of the area of the shaded region to the area of the unshaded region is therefore:Area&amp;nbsp;of&amp;nbsp;shaded&amp;nbsp;regionArea&amp;nbsp;of&amp;nbsp;unshaded&amp;nbsp;region=12s212s2=1

user_27qwe · Accepted Answer

Step 1: Determine the area of the shaded region.The shaded region is a triangle with a base and height equal to the length of each side of the square (s). The formula to calculate the area of a triangle is 12×base×height. In this case, the base and height are both s, so the area of the shaded triangle is 12×s×s=12s2.Step 2: Determine the area of the unshaded region.The unshaded region is the remaining area of the square after subtracting the shaded triangle. The area of the square is given by the formula s2. Since the shaded triangle occupies an area of 12s2, the area of the unshaded region is s2−12s2=12s2.Step 3: Calculate the ratio of the areas.To find the ratio of the area of the shaded region to the area of the unshaded region, we divide the area of the shaded region by the area of the unshaded region. Thus, the ratio is 12s212s2=1.Therefore, the ratio of the area of the shaded region to the area of the unshaded region is 1:1.

star233 · Accepted Answer

Let&#039;s start by determining the area of the shaded region, which is a triangle. The base and height of the triangle are both equal to the length of each side of the square, denoted as s. The formula to find the area of a triangle is given by Area=12×base×height.Therefore, the area of the shaded region (As) is:As=12×s×s=s22Next, we need to calculate the area of the unshaded region, which is the remaining area of the square after subtracting the shaded region. The area of the square (Asquare) is given by the formula Asquare=s2. Thus, the area of the unshaded region (Au) is:Au=Asquare−As=s2−s22To find the ratio of the shaded region to the unshaded region, we divide the area of the shaded region by the area of the unshaded region:Ratio=AsAu=s22s2−s22Simplifying the ratio further, we can multiply the numerator and denominator by 2 to eliminate the fraction:Ratio=s22(s2−s22)Simplifying the denominator:Ratio=s22(s2−s22)=s22s2−s2=s2s2Finally, we conclude that the ratio of the area of the shaded region to the area of the unshaded region is:Ratio=1Therefore, the area of the shaded region is equal to the area of the unshaded region.

To calculate: the ratio of the area of the shaded

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