Question

Mrs hanger is painting the following picture of a h to hang in the entryway of her home she has made the following scale as her model the scale is used on the drawing is 1:6 on the scale drawing h is centered on the page and 5/6 inches from the top bottom and sides of the drawing as you can see the h is to be painted red in the center of a rectangular beige background what is the actual width of the painting what is the actual height of the painting what is the actual height of the h actual width of the h through the center actual distance from the left edge of the painting to the left edge of the h

Answer 1

To find the actual dimensions of the painting, we need to first find the dimensions of the scale drawing. We know that the height of the h on the scale drawing is 5/6 inches, and the scale is 1:6. Therefore, the actual height of the h is:

Actual height = (5/6) x 6 = 5 inches

To find the actual width of the h through the center, we can use the same scale. The width of the h on the scale drawing is 1/3 inches (since the h is symmetric). Therefore, the actual width of the h through the center is:

Actual width = (1/3) x 6 = 2 inches

The actual width of the painting is equal to the actual width of the h plus twice the distance from the left edge of the painting to the left edge of the h. On the scale drawing, the distance from the left edge of the h to the left edge of the drawing is (1/6) inches. Therefore, the actual width of the painting is:

Actual width = 2 + 2 x (1/6) = 2 1/3 inches

To find the actual height of the painting, we need to add twice the distance from the top of the h to the top of the painting, and twice the distance from the bottom of the h to the bottom of the painting. On the scale drawing, the distance from the top of the h to the top of the drawing is (5/6) inches, and the distance from the bottom of the h to the bottom of the drawing is also (5/6) inches. Therefore, the actual height of the painting is:

Actual height = 5 + 2 x (5/6) = 6 2/3 inches