Question

ABCD is a parallelogram, CM ⊥ AB and BL ⊥ AD. If AB = 16 cm, AD = 12 cm and CM = 10 cm, find BL.​

Answer 1

ɢɪᴠᴇɴ :

• AB = 16cm
• AD = 12cm
• CM = 10cm

ᴛᴏ ғɪɴᴅ :

• the length of BL

sᴏʟᴜᴛɪᴏɴ :

AB = 16 cm and height CM = 10 cm

∴ Area of parallelogram ABCD = base x height

= AB × CM

= 16 × 10 cm²

= 160 cm²

Now, taking AD as a base,

Area of parallelogram ABCD = base × height

160 = AD x BL

160 = 12 x BL

∴ BL = 160 / 12

⇒ BL = 13.33 cm.