Q:

- A rectangle has a width of 4.2 m and an area of 37.8 m2. Find the length and theperimeter.A ( = 14.7 m and P = 61.74 mB= 9 m and P = 13.2 mC{ = 9 m and P = 26.4 m​

Accepted Solution

A:
Answer: option clength = 9mPerimeter = 26.4mStep-by-step explanation:A rectangle has a width of 4.2 m and an area of 37.8 m^2We want yo determine the length of the rectangle and the perimeter of the rectangle.The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes 2(length +width). So the perimeter of the given rectangle is2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length Γ— width. It becomes37.8= length Γ— 4.2Length = 37.8/4.2 = 9mTherefore, the perimeter is 2(length + 4.2) = 2(9+4.2)Perimeter = 2Γ— 13.2 = 26.4m