# Math

Two similar triangles have a pair of corresponding sides of length 12 meters and 8 meters. The larger triangle has a perimeter of 48 meters and an area of 180 square meters. Find the perimeter P and area A of the smaller triangle.

1. 👍
2. 👎
3. 👁
1. Since S2/S1 = 8/12 = 2/3,
P2/P1 = 2/3
A2/A1 = (2/3)^2

1. 👍
2. 👎
2. the side length of the smaller triangle is 2/3 that of the larger triangle

so the perimeter of the smaller triangle is 2/3 the perimeter of the larger triangle

and the area of the smaller triangle is (2/3)^2 the area of the larger triangle

1. 👍
2. 👎

## Similar Questions

1. ### math

Which of the following statements is always true of similar polygons? (1 point) Corresponding angles of similar figures have the same measure. The lengths of corresponding sides form equivalent ratios. The lengths of corresponding

2. ### algebra

the length of a rectangle is 5 times its width. if the length is decreased by 3 meters, and the width is increased by 10 meters, the perimeter will be 374 meters. find the length of the original rectangle.

3. ### math

The ladders shown below are standing against the wall at the same angle. How high up the wall does the longer ladder go? (All measurements are in feet.) ladders 11.25 ft 12.5 ft 14 ft 14 ft 2. The pair of polygons is similar. Find

4. ### algebra

The figures in the pair are similar. Find the missing length. The image is of two proportionate isosceles triangles with vertical bases. One triangle has its base marked as 6 cm and two sides as 4 cm and 4 cm respectively. The

1. ### Math

Two triangles are similar, and the ratio of each pair of corresponding sides is 2 : 1. Which statement regarding the two triangles is not true? 1) Their areas have a ratio of 4 : 1. 2) Their altitudes have a ratio of 2 : 1. 3)

2. ### Physical Science

A van traveling down a slope with a uniform acceleration of 2.15 meters/second^2 attains a speed of 20.00 meters/second after 7.00 seconds. What is the initial velocity of the van? A. 0.00 meters/second B. 3.65 meters/second C.

3. ### algebra

1. Rectangle ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary. A_____________B | | | | 8 m | | | | | D_____13 m____C A. 10 meters B. 10.2 meters** C. 15 meters D. 15.3 meters I don't

4. ### math

If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 meters and its area is 210 sq m, find the length of two adjacent sides of the parallelogram.

1. ### Math

A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 42 meters of fence and wants the pasture to have an area of 220 sq-meters. What should the dimensions of the pasture be?

2. ### Math

Find the missing length for the pair of similar figures. A. 1.125m B 4.5m C 7m*** D 16m The picture shows two similar right triangles. One with the sizes 4 and 2 and the other 9 and "?"

3. ### Physicis

A rocket initially at rest accelerates at a rate of 99.0 meters/second2. Calculate the distance covered by the rocket if it attains a final velocity of 445 meters/second after 4.50 seconds. A.) 2.50 x 10(2) meters B.) 1.00 x 10(3)

4. ### GEOMETRY

The sides of a triangle are 8,15 and 18 the shortest side of a similar triangle is 10 how long are the other sides? Find the scale factor of similar triangles whose sides are 4,12,20 and 5,15,25 Assume that traingle xyz is similar