Answer:
3. Find the area (A = LW)
L = (y + 2) m
W = (5y - 1) m
A = LW
= (y + 2)(5y - 1)
= 5y² - y + 10y - 2
4. Find the perimeter (P = 2L + 2W)
P = 2L + 2W
= 2(y + 2) + 2(5y - 1)
= 2y + 4 + 10y - 2
5. The edge of the cube measures (2a + 1) cm. Find the volume (V = e³)
e = (2a + 1) cm
V = e³
= (2a + 1)³
= (2a + 1)(2a + 1)(2a + 1)
= 4a² + 2a + 2a + 1 × (2a + 1)
= (4a² + 4a + 1) × (2a + 1)
= 8a³ + 4a² + 8a² + 4a + 2a + 1
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Verified answer
Answer:
3. Find the area (A = LW)
L = (y + 2) m
W = (5y - 1) m
A = LW
= (y + 2)(5y - 1)
= 5y² - y + 10y - 2
A = 5y² + 9y - 2 m²
4. Find the perimeter (P = 2L + 2W)
L = (y + 2) m
W = (5y - 1) m
P = 2L + 2W
= 2(y + 2) + 2(5y - 1)
= 2y + 4 + 10y - 2
P = 12y + 2 meter
5. The edge of the cube measures (2a + 1) cm. Find the volume (V = e³)
e = (2a + 1) cm
V = e³
= (2a + 1)³
= (2a + 1)(2a + 1)(2a + 1)
= 4a² + 2a + 2a + 1 × (2a + 1)
= (4a² + 4a + 1) × (2a + 1)
= 8a³ + 4a² + 8a² + 4a + 2a + 1
V = 8a³ + 12a² + 6a + 1 cm³