Question

find x and y. please help me ​

Answer 1

Given: The length of a rectangle are 3 ( x + 4) , 8(x +5) and the breadths are 3y and 5(y -2)

To Find: the values of x and y

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Here, we have been provided with the measurements of the sides of the rectangle ( length and breadth respectively) And we have been asked to find the values of x and y in the measurements.

We, know that According to the properties of a rectangle the measurements of the opposite side are the same

Now, let's form an equation accordingly

${\large {\underline{\pmb{\frak{Let's \: Find\: the\:value \:of \:X }}}}}$

$\longrightarrow \sf \: 3(x + 4) = 8(x - 5) \\ \\ \\ \longrightarrow \sf3x + 12 = 8x - 40 \: \: \: \\ \\ \\ \longrightarrow \sf12 + 40 = 8x - 3x\: \: \\ \\ \\ \longrightarrow \sf \: 52 = 5x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf \: x = \frac{52}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf \: x = 10.4 \bigstar \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

${\large {\underline{\pmb{\frak{Let's \: Find\: the\:value \:of \:y }}}}}$

$\longrightarrow \sf \: 3y = 5(y - 2) \\ \\ \\ \longrightarrow \sf3y = 5y - 10 \: \: \: \: \\ \\ \\ \longrightarrow \sf - 10 = 3y - 5y \\ \\ \\ \longrightarrow \sf \cancel - 10 = \cancel - 2y \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf \: y \: = \cancel\frac{10}{2} \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf \: y = 5 \bigstar \: \: \: \: \: \: \: \: \: \: \: \:$

~Hence the values of and are 10.4 and 5 respectively