Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet
1 answer:
Answer:
Step-by-step explanation:
Given that the total area of Frame and Painting is 45 Sq Fts.
Dimensions of painting are 6 feet and 7 feet. Hence.
Let us assume the uniform thickness of frame is x
Hence the Length of frame with painting = 7+2x
and breadth = 6+2x
Area of the frame = length * breadth
Hence option b is correct.
You might be interested in
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have . Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w.
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!