Question

The shorter side of a parallelogram has length 6.5 cm

Not drawn
accurately

The length of the shorter side is
1/9
6.5 cm
of the perimeter.
Work out the length of the longer side.

Answer 1

Answer:

22.75 cm

Explanation:

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Given that the shorter side of the parallelogram is 6.5 cm, which is 1/9 of its perimeter, we can calculate the perimeter as by multiplying the shorter side by 9:

Perimeter = 6.5 × 9 = 58.5 cm

Let "x" be the length of the longer side of the parallelogram.

Since opposite sides of a parallelogram are equal in length, we can express the perimeter as:

Perimeter = 2 × shorter side + 2 × longer side

Substituting the perimeter (58.5 cm) and shorter side (6.5 cm) into the equation, we can solve for x:

Therefore, the length of the longer side of the parallelogram is 22.75 cm.

Explanation:

Answer 2

22.75 cm

Explanation:

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Given that the shorter side of the parallelogram is 6.5 cm, which is 1/9 of its perimeter, we can calculate the perimeter as by multiplying the shorter side by 9:

Perimeter = 6.5 × 9 = 58.5 cm

Let "x" be the length of the longer side of the parallelogram.

Since opposite sides of a parallelogram are equal in length, we can express the perimeter as:

Perimeter = 2 × shorter side + 2 × longer side

Substituting the perimeter (58.5 cm) and shorter side (6.5 cm) into the equation, we can solve for x:

`\begin{aligned}\textsf{Perimeter}&= \sf 2* shorter\;side+2 * longer\;side\\58.5&=2*6.5 + 2* x\\58.5&=13+2x\\45.5&=2x\\22.75&=x\end{aligned}`

Therefore, the length of the longer side of the parallelogram is 22.75 cm.