The perimeter of a rectangle is 130 cm. If the length increases by 2 / 7 and the width decreases by 1 / 3, the perimeter of the new rectangle is equal to that of the original rectangle, qiuyuanchangfangxingmianji

The perimeter of a rectangle is 130 cm. If the length increases by 2 / 7 and the width decreases by 1 / 3, the perimeter of the new rectangle is equal to that of the original rectangle, qiuyuanchangfangxingmianji


Let length be x, then width be 65-x, so x (1 + 2 / 7) + (65-x) (1-1 / 3) = 65
x=35 65-x=30
So the original length was 35 cm and the width was 30 cm



A rectangular playground, the ratio of length and width is 5:3, the perimeter of the playground is 160 meters, how many square meters is the playground area?


Let the length and width be 5 x 3 x respectively
You can get it
5x+3x=160/2
x=10
5x=50
3x=30
The area of the playground is
50x30 = 1500 square meters



A rectangular playground, perimeter is 270 meters, length and width ratio is 5; 4, find the playground area?


If the length is 5x, the width is 4x
2*(5X+4X)=270
X=15
The playground area is (5 * 15) * (4 * 15) = 4500 square meters



A rectangular playground, perimeter is 360 meters, length and width ratio is 5:4, the playground area is () square meters


Length 360 / 2 × 5 / (5 + 4) = 100m
Width 100 △ 5 × 4 = 80m
Area: 100 × 80 = 8000 square meters