Question

Carmen begins her next painting on a rectangular canvas that is 82.7cm long and has an area of 8137.68 cm2. Will the painting fit in a frame with an opening that 82.7cm long and 95cm wide

Answer 1

Length of the rectangular canvas = 82.7 cm
Area of the rectangular canvas = 8137.68 cm^2
Let us assume the width of the rectangular canvas = x cm
Then we already know
Area of a rectangle = Length * width
8137.68 = 82.7 * x
x = (8137.68/82.7) cm
= 98.4 cm
So the width of the rectangular canvas is 98.4 cm. But we can see that the frame of the painting has a length of 82.7 cm and a width of 95 cm, so the painting will not fit in the frame as the painting has a length is 82.7 cm and the width is 98.4 cm. So the width of the painting is greater than the width of the frame.