(ii) Find the perimeter of the garden. (iv) Find the length of wire required to fence the garden The area of a rectangle is \( 70 \mathrm{~cm}^{2} \) and it is 7 m broad. \( \begin{array}{ll}\text { i) Find its length } & \text { (ib) Find its perimeler }\end{array} \)

To solve the problem, we need to find the length of the rectangle first, and then we can calculate the perimeter and the length of wire required to fence the garden. ### Step 1: Find the Length of the Rectangle We know the area \( A \) of a rectangle is given by the formula: \[ A = \text{length} \times \text{width} \] Given: - Area \( A = 70 \, \text{cm}^2 \) - Width \( w = 7 \, \text{m} = 700 \, \text{cm} \) (since we need to convert meters to centimeters) We can rearrange the formula to find the length \( l \): \[ l = \frac{A}{w} \] Now, substituting the known values: \[ l = \frac{70 \, \text{cm}^2}{700 \, \text{cm}} \] ### Step 2: Calculate the Length Let's perform the calculation: \[ l = \frac{70}{700} = 0.1 \, \text{cm} \] ### Step 3: Find the Perimeter of the Rectangle The perimeter \( P \) of a rectangle is given by the formula: \[ P = 2 \times (\text{length} + \text{width}) \] Substituting the values we have: \[ P = 2 \times (0.1 \, \text{cm} + 700 \, \text{cm}) \] ### Step 4: Calculate the Perimeter Now, let's calculate the perimeter: \[ P = 2 \times (0.1 + 700) = 2 \times 700.1 = 1400.2 \, \text{cm} \] ### Step 5: Length of Wire Required to Fence the Garden The length of wire required to fence the garden is equal to the perimeter of the garden. Therefore, the length of wire required is: \[ \text{Length of wire} = 1400.2 \, \text{cm} \] ### Summary of Results - Length of the rectangle: \( 0.1 \, \text{cm} \) - Perimeter of the garden: \( 1400.2 \, \text{cm} \) - Length of wire required to fence the garden: \( 1400.2 \, \text{cm} \)