Answer:
Step-by-step explanation:
So imagine a rectangle. The perimeter of a rectangle is 2w + 2l = perimeter. Because perimeter is the sides added up. It says the length is 2 times the width so use 2w. the width would just be w. Now add up the sides. 2w+2w+w+w which equals 6w. It states that the perimeter is 42 so now set 6w equal to 42 and solve for w. W would be 7 and that is the width. The length is 2(7) so length is 14 inches. Area would be 7 x 14 because area is length times width and so the area is 98 square units.
Answer: Length of bin = 14 inches
Area of the bin = 98 inches²
Step-by-step explanation:
Perimeter of rectangle = 2 (length + width)
Let perimeter of the rectangular bin = 42 inches
Length (l) = 2x
Width (w) = x
2 (length + width) = 42 inches
2 (2x + x) = 42 inches
2 (3x) = 42 inches
6x = 42 inches
x = 42 ÷ 6 = 7 inches
Length (l) = 2x = 14 inches
Width (w) = x = 7 inches
Area = Length × width
Area of the bin = Length × width
= 14 × 7
= 98 inches²
