10. CBQ - School garden expansion

Question:

4 m.

As part of a school improvement project, the management plans to create a square garden for students to enjoy outdoor activities. Initially, each side of the garden measures $64 \ m$. To provide more space for plants, seating areas, and pathways, the school decides to increase each side by $1 \ m$. The students suggest using algebraic identities instead of lengthy multiplication to calculate the new area and the additional space created. This practical

application shows how algebra can help make quick, accurate calculations when planning school spaces.

1. The identity used here is

$(a + b)^2$
$(a + b)$
$(a - b)$
$(a - b)^2$

2. Find the original area.

$4225 m^{2}$
$4096 m^{2}$
$129 m^{2}$
$4106 m^{2}$

3. Find the new area.

$4091 m^{2}$
$4106 m^{2}$
$4096 m^{2}$
$4225 m^{2}$

4. Find the increase in area.

$4106 m^{2}$
$129 m^{2}$
$4091 m^{2}$
$4096 m^{2}$

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