A school football field measures 90m by 75 m. If the field is to be drawn on scale so that 1 cm to represent 10m. Work out the length and the width of the plan in cm.

Urefu halisi wa uwanja = $90 \text{ m}$
Upana halisi wa uwanja = $75 \text{ m}$
Kipimo = $1 \text{ cm}$ inawakilisha $10 \text{ m}$

Kutoka kipimo, $10 \text{ m}$ inawakilishwa na $1 \text{ cm}$.
Hivyo, $1 \text{ m}$ inawakilishwa na $\frac{1}{10} \text{ cm}$.
Urefu kwenye ramani = Urefu halisi $\times \frac{1 \text{ cm}}{10 \text{ m}}$
Urefu kwenye ramani = $90 \text{ m} \times \frac{1 \text{ cm}}{10 \text{ m}} = \frac{90}{10} \text{ cm} = 9 \text{ cm}$

Upana kwenye ramani = Upana halisi $\times \frac{1 \text{ cm}}{10 \text{ m}}$
Upana kwenye ramani = $75 \text{ m} \times \frac{1 \text{ cm}}{10 \text{ m}} = \frac{75}{10} \text{ cm} = 7.5 \text{ cm}$

Urefu wa uwanja kwenye ramani ni $\boxed{\text{9 cm}}$ na upana ni $\boxed{\text{7.5 cm}}$.