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Problem 439

A rectangle, the lengths of whose base and altitude are in the ratio \(4: 1\), is equivalent to a square, the length of whose side is 6 inches. Find the dimensions of the rectangle.

Expert verified

The dimensions of the rectangle are 12 inches by 3 inches.

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Chapter 23

The lengths of two consecutive sides of a parallelogram are 10 inches and 15 inches, and these sides include an angle of \(63^{\circ}\). (As shown in the figure), a) Find, to the nearest tenth of an inch, the length of the altitude drawn to the longer side of the parallelogram, b) Find, to the nearest square inch, the area of the parallelogram.

Chapter 23

The wall at one end of an attic takes on the shape of a trapezoid because of a slanted ceiling. The wall is 8 feet high at one end, 10 feet wide, and only 3 feet high at the other end. What is the wall's area?

Chapter 23

The areas of two similar triangles are in the ratio of \(4: 1\). The length of a side of the smaller triangle is \(5 .\) Find the length of the corresponding side in the larger triangle.

Chapter 23

If two triangles have congruent bases, then the ratio of their areas equals the ratio of the lengths of their altitudes.

Chapter 23

The area of a certain triangle is 52 square feet and the height is 13 feet. What is the measure of the base of the triangle ?

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