The ratio of length to width of a rectangle is 7:5. If the width is increased by 14 cm, the rectangle will become a square. The area of the original rectangle is___ Square centimeter

The ratio of length to width of a rectangle is 7:5. If the width is increased by 14 cm, the rectangle will become a square. The area of the original rectangle is___ Square centimeter

If the width of a rectangle is x cm, then the length is 75X cm. From the meaning of the title, we can get: 75X = x + 14, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 25X = 14, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; &; X = 35; 75 × 35 = 49 (CM), area of rectangle: 49 × 35 = 1715 (square cm); answer: area of original rectangle is 1715 square cm

The width of a rectangle is 5 / 7 of its length. If it is increased by 14 cm, it will become a square. What is the area of the original rectangle?

Length = 14 (1-5 / 7) = 49 cm
Width = 49-14 = 35cm
Area = 49 × 35 = 1715 square centimeter

The ratio of length to width of a rectangle is 7:5. If the width is increased by 14 cm, the rectangle will become a square. The area of the original rectangle is___ Square centimeter

If the width of a rectangle is x cm, then the length is 75X cm. From the meaning of the title, we can get: 75X = x + 14, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp

The ratio of length to width of a rectangle is 10:7. If the width is increased by 6cm, it will become a square. What is the area of the original rectangle?
You can't use equations

10-7 = 3 6 / 3 = 2 2 * 10 = 20 cm 7 * 2 = 14 cm 20 * 14 = 280 cm
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If the length of a rectangle increases by 2 cm, the area increases by 12 cm. If the width increases by 3 cm, the area increases by 21 cm. What is the area of this rectangle

Width = 12 △ 2 = 6cm;
Length = 21 △ 3 = 7 cm;
Area = 6 × 7 = 42 square centimeter;
If you don't understand this question, you can ask,

There are 80 pieces of rectangular paper which are 2cm long and 1cm wide. Choose some of them and make a square as big as possible. What is the circumference of the square?

The side length of the smallest square is (2 + 1) × 2 = 6 (CM), which needs 4.5 × 4 = 18 (sheets)
The side length of a bigger square is 6 × 2 = 12 (CM), which needs 18 × 4 = 72 (sheets). The remaining 8 sheets are useless, so the perimeter of the square is 12 × 4 = 48 (CM)

There is a rectangular paper, 70cm in length and 50cm in width. If you want to cut this rectangular paper into several squares of the same size without any surplus, how long is the maximum side length of the small square?

Decompose 70 and 50 into prime factors: 70 = 2 × 5 × 7, 50 = 2 × 5 × 5, the greatest common factor of 70 and 50 is 2 × 5 = 10; a: the maximum side length of the cut small square is 10 cm

How many pieces of rectangular cardboard do you need to make a square with 6 cm long and 4 cm wide?

4 = 2 × 2, 6 = 2 × 3, the least common multiple of 6 and 4 is: 2 × 2 × 3 = 12, that is, the side length of the square is 12 cm, (12 △ 6) × (12 △ 4), = 2 × 3, = 6 (pieces); a: at least 6 pieces of such cardboard are required

How many different ways do you use 100 squares of the same size to make a rectangle?
most urgent!

1×100,2×50,4×25,5×20,10×10
There are 5 kinds of spelling (including 1 square. Because a square is a special rectangle)

There are () different ways to make 432 squares of the same size into a rectangle

There are 10 species: 2 * 216 4 * 108 8 * 54 16 * 27 6 * 72 18 * 24 12 * 36 48 * 9 144 * 3 432 * 1