Two lengths of wood are in the ratio 4:7. The shorter length is 32cm. Find the longer length
The longer length is 56cm.
56
To find the longer length, we can set up a proportion using the given ratio.
Let's assume the longer length is represented by 'x'.
The ratio of the shorter length to the longer length is given as 4:7. This can be written as:
32/x = 4/7
To solve for 'x', we can cross-multiply:
4x = 32 * 7
4x = 224
Now, let's isolate 'x' by dividing both sides of the equation by 4:
x = 224 / 4
x = 56
Therefore, the longer length is 56 cm.
To find the longer length, we can use the ratio given and the length of the shorter length.
The ratio of two lengths is 4:7. This means that for every 4 parts of the shorter length, there are 7 parts of the longer length.
Since we know that the shorter length is 32 cm, we can set up the proportion: 4/7 = 32/x, where x represents the longer length we want to find.
To solve for x, we can cross-multiply and then divide:
4x = 7 * 32
4x = 224
x = 224/4
x = 56
Therefore, the longer length is 56 cm.