Find area of shaded part
please give solved answer
Answers
Solution!!
We have to find the shaded area. To do so, we have to find the area of the rectangle first.
Length (NP) = XP + NX = 6 cm + 8 cm
Length (NP) = 14 cm
Breadth (MN) = 15 cm
Area = Length × Breadth
Area = 14 cm × 15 cm
Area = 210 cm²
Now, let's find the area of the unshaded triangles formed.
∆MNX
Height (MN) = 15 cm
Base (NX) = 8 cm
Area = (1/2) × Base × Height
Area = (1/2) × 8 cm × 15 cm
Area = 60 cm²
∆XPY
Height (PY) = 10 cm
Base (XP) = 6 cm
Area = (1/2) × Base × Height
Area = (1/2) × 6 cm × 10 cm
Area = 30 cm²
∆YLM
Height (LM) = 14 cm
Base (YL) = 15 cm - 10 cm = 5 cm
Area = (1/2) × Base × Height
Area = (1/2) × 5 cm × 14 cm
Area = 35 cm²
Now, let's find the area of the unshaded portion.
→ Area of unshaded portion = Area of ∆MNX + Area of ∆XPY + Area of ∆YLM
→ Area of unshaded portion = 60 cm² + 30 cm² + 35 cm²
→ Area of unshaded portion = 125 cm²
Let's find out the area of shaded portion!
→ Area of shaded portion = Area of rectangle - Area of unshaded portion
→ Area of shaded portion = 210 cm² - 125 cm²
Area of shaded portion = 85 cm²